study 1 analysis
Joseph Outa
2025-7-1
Background: This is the analysis script for Study 1 of the 2025 Cogsci Paper: “Adults hold two parallel causal frameworks for reasoning about people’s minds, actions and bodies” by Joseph Outa and Shari Liu.
Study 1 presented two tasks in a random order in a within-subjects design: a Freesorting Task and a Causal Task. Subjects sorted 15 items in a sorting canvas, and rated causal relatedness between all 210 pairs of the 15 items (excluding self pairs).
The N was 102 adults (before exclusions), recruited online via Cloud Research Connect. Study demo: https://liulaboratory-experiments.github.io/mbc/study1
The two research questions are: (1) How do subjects sort items? Do they sort based on three latent causes, 2 latent causes, 6 latent causes, or feature-based similarity. (2) Do subjects’ direct cause representations (from the Causal Task) reflect latent cause boundaries or do they go beyond, and if so, what is their structure?
The manuscript and project materials for the pilot study can be found at: https://github.com/liulaboratory-experiments/mind-body-action-causation
Script description:
This script:-
- proceeds from the output of the preprocessing script.
- takes as input data_processed_step1.csv, and data_model_prediction.csv
- plots Sorting and Causal Task rdms, gets correlations between empirical and models RDM, gets within subject correlations.
- outputs data_freesort_mins_causals.csv for use in study 2 script for item selection.
1 Setup
1.1 load packages
1.2 set variables
# variables
desired_order <- c("see something", "hear something", "choose what to do",
"remember something", "think about something", "reach for something",
"sit down", "jump up and down", "kick something", "take a walk",
"get tired", "become hungry", "feel scared", "experience pain", "get sick")
domain_order <- c("mind", "action", "bio")
freesort_columns <- c("subject_id", "x", "y", "item")
freesort_columns_with_trial_order <- c("subject_id", "x", "y", "item", "trial_type", "trial_type_order")
causation_columns <- c("subject_id", "itemA", "itemB", "response")
# paths
## script inputs
base_path <- here("code", "pilot", "analysis")
snapshots_input_path <- paste0(base_path, "/study1-measure/snapshots_study1_preprocessing_analysis")
data_input_path <- paste0(snapshots_input_path, "/data_processed_step1.csv")
model_predictions_input_path <- paste0(snapshots_input_path, "/data_model_predictions.csv")
rdms_input_path <- paste0(base_path, "/study1-measure/figures/theoretical-rdms")
## script outputs
snapshots_output_path <- paste0(base_path, "/study1-measure/snapshots_study1_pilot_analysis")
rdms_outputs_path <- paste0(base_path, "/study1-measure/figures")
freesort_minus_causal_distances_output_path <- paste0(snapshots_output_path, "/freesort_minus_causals.csv")
## saved dataframes (not to be used in subsequent scripts, but saving for efficiency)
data_processed_output_path <- paste0(snapshots_output_path, "/data_processed_step2.csv") #not used in a subsequent script
correlations_output_path <- paste0(snapshots_output_path, "/correlations.csv") #not used in this script1.3 read data
## Rows: 12200 Columns: 19
## ── Column specification ────────────────────────────────────────────────────────
## Delimiter: ","
## chr (8): subject_id, trial_type, trial_type_order, itemA, itemB, categoryA, ...
## dbl (9): trial_index, question_index, response, correct_response, original_t...
## lgl (2): attention_check, correct
##
## ℹ Use `spec()` to retrieve the full column specification for this data.
## ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.## [1] "subj_50"1.4 reshape data
Create separate data frames for Sorting Task, Causal Task and a combined data frame
df_causal <- d %>%
filter(trial_type == "causation", !attention_check, itemA != itemB) %>%
select(all_of(causation_columns)) %>%
#normalize causal distances and flip scale
mutate(
causal_distance = (1 - response / 100 - min(1 - response / 100, na.rm = TRUE)) /
(max(1 - response / 100, na.rm = TRUE) - min(1 - response / 100, na.rm = TRUE))
) %>%
select(subject_id, itemA, itemB, causal_distance) %>%
mutate(domain_itemA = case_when(itemA == "hear something" ~ "mind", #labels for first item of pair
itemA == "choose what to do" ~ "mind",
itemA == "remember something" ~ "mind",
itemA == "think about something" ~ "mind",
itemA == "see something" ~ "mind",
itemA == "reach for something" ~ "action",
itemA == "sit down" ~ "action",
itemA == "jump up and down" ~ "action",
itemA == "kick something" ~ "action",
itemA == "take a walk" ~ "action",
itemA == "get tired" ~ "bio",
itemA == "become hungry" ~ "bio",
itemA == "feel scared"~ "bio",
itemA == "experience pain"~ "bio",
itemA == "get sick"~ "bio"),
domain_itemB = case_when(itemB == "hear something" ~ "mind",
itemB == "choose what to do" ~ "mind",
itemB == "remember something" ~ "mind",
itemB == "think about something" ~ "mind",
itemB == "see something" ~ "mind",
itemB == "reach for something" ~ "action",
itemB == "sit down" ~ "action",
itemB == "jump up and down" ~ "action",
itemB == "kick something" ~ "action",
itemB == "take a walk" ~ "action",
itemB == "get tired" ~ "bio",
itemB == "become hungry" ~ "bio",
itemB == "feel scared"~ "bio",
itemB == "experience pain"~ "bio",
itemB == "get sick"~ "bio")) %>%
relocate(domain_itemA, .after = "itemB") %>%
relocate(domain_itemB, .after = "domain_itemA") %>%
mutate(itemA = factor(itemA, levels = desired_order),
itemB = factor(itemB, levels = desired_order))
df_freesort <- d %>%
filter(trial_type == "free_sort") %>%
select(all_of(freesort_columns_with_trial_order)) %>%
rename(item_freesort = item) %>%
#expand pairs within each subject
group_by(subject_id, trial_type_order) %>%
summarize(pairs = list(expand.grid(itemA = item_freesort, itemB = item_freesort, stringsAsFactors = FALSE)), .groups = "drop") %>%
unnest(pairs) %>%
filter(itemA != itemB) %>%
#join in freesort coordinates
left_join(d %>% filter(trial_type == "free_sort") %>%
select(subject_id, itemA = item, x, y),
by = c("subject_id", "itemA")) %>%
rename(x_itemA = x, y_itemA = y) %>%
left_join(d %>% filter(trial_type == "free_sort") %>%
select(subject_id, itemB = item, x, y),
by = c("subject_id", "itemB")) %>%
rename(x_itemB = x, y_itemB = y) %>%
group_by(subject_id) %>%
#compute and normalize Euclidean distances
mutate(
euclidean_distance = sqrt((x_itemA - x_itemB)^2 + (y_itemA - y_itemB)^2),
freesort_distance = round( (euclidean_distance - min(euclidean_distance, na.rm = TRUE)) /
(max(euclidean_distance, na.rm = TRUE) - min(euclidean_distance, na.rm = TRUE)),2),
trial_type_order = ifelse(trial_type_order == "first", "causation_second", "causation_first"),
itemA = factor(itemA, levels = desired_order),
itemB = factor(itemB, levels = desired_order)) %>%
select(subject_id, itemA, itemB, freesort_distance, trial_type_order) %>%
ungroup() %>%
mutate(domain_itemA = case_when(itemA == "hear something" ~ "mind", #labels for first item of pair
itemA == "choose what to do" ~ "mind",
itemA == "remember something" ~ "mind",
itemA == "think about something" ~ "mind",
itemA == "see something" ~ "mind",
itemA == "reach for something" ~ "action",
itemA == "sit down" ~ "action",
itemA == "jump up and down" ~ "action",
itemA == "kick something" ~ "action",
itemA == "take a walk" ~ "action",
itemA == "get tired" ~ "bio",
itemA == "become hungry" ~ "bio",
itemA == "feel scared"~ "bio",
itemA == "experience pain"~ "bio",
itemA == "get sick"~ "bio"),
domain_itemB = case_when(itemB == "hear something" ~ "mind",
itemB == "choose what to do" ~ "mind",
itemB == "remember something" ~ "mind",
itemB == "think about something" ~ "mind",
itemB == "see something" ~ "mind",
itemB == "reach for something" ~ "action",
itemB == "sit down" ~ "action",
itemB == "jump up and down" ~ "action",
itemB == "kick something" ~ "action",
itemB == "take a walk" ~ "action",
itemB == "get tired" ~ "bio",
itemB == "become hungry" ~ "bio",
itemB == "feel scared"~ "bio",
itemB == "experience pain"~ "bio",
itemB == "get sick"~ "bio"))
df_combined <- df_freesort %>%
# left_join(df_causal, by = c("subject_id", "itemA", "itemB")) # %>%
left_join(df_causal, by = c("subject_id", "itemA", "itemB", "domain_itemA", "domain_itemB")) %>%
mutate(domain_itemA = factor(domain_itemA, levels = domain_order),
domain_itemB = factor(domain_itemB, levels = domain_order)) %>%
relocate(freesort_distance, .before = "causal_distance") %>%
relocate(trial_type_order, .after = "domain_itemB")
paged_table(df_combined)2 Freesort RDMs
2.1 plot subject-specific raw responses
d %>%
filter(trial_type == "free_sort") %>%
# filter(subject_id == "subj_03") %>%
mutate(y = 500 - y) %>% #invert y axis
ggplot(aes(x = x, y = y)) +
geom_point() +
geom_text(aes(label = item), size = 3, vjust = -.2) +
facet_wrap(~subject_id)
2.2 plot average raw responses
# pdf("my_plot_average.pdf", width = 7, height = 4) # Width and height are in inches
d %>%
filter(trial_type == "free_sort") %>%
mutate(y = 500 - y) %>%
group_by(item) %>%
mutate(mean_x = mean(x),
mean_y = mean(y)) %>%
ungroup() %>%
distinct(item, .keep_all = TRUE) %>%
select(-subject_id) %>%
ggplot(aes(x = mean_x, y = mean_y)) +
geom_point() +
geom_text(aes(label = item), vjust = -1) +
labs(title = "Average Raw Responses")
2.3 plot subject-specific Sorting RDMs
plot_rdm <- function(data, subject, desired_order) {
df_matrix <- data %>%
filter(subject_id == subject) %>%
select(-subject_id) %>%
select(itemA, itemB, freesort_distance) %>%
pivot_wider(names_from = itemB, values_from = freesort_distance) %>%
column_to_rownames("itemA")
df_matrix <- df_matrix[desired_order, desired_order]
diag(df_matrix) <- 0
custom_palette <- colorRampPalette(c("red", "white", "blue"))(200) # Generate 200 color levels
corrplot(as.matrix(df_matrix), method = "color", is.corr = FALSE,
col = custom_palette, # Apply custom colors
tl.col = "black", title = paste("Freesort RDM - ", subject),
mar = c(0, 0, 2, 0), addgrid.col = "darkgray"
)
}
subject_ids <- unique(df_freesort$subject_id)
#generate plots
# plots <- map(subject_ids, ~plot_rdm(df_freesort, .x, desired_order)) #run this to visualize plots in markdown output
#save plots with subject name as file name
new_names <- paste0("subj_", str_pad(seq_along(subject_ids), width = 2, pad = "0"))
#loop to save each plot as a separate PDF
for (i in seq_along(subject_ids)) {
pdf(file = paste0(base_path, "/study1-measure/figures/freesort/", new_names[i], ".pdf"), width = 8, height = 6) #open a PDF device
plot_rdm(df_freesort, subject_ids[i], desired_order)
dev.off() #close the device to save the file
}2.4 figure for paper: plot average freesort rdm
df_mean_freesort <- df_freesort %>%
unite("item_pairs", itemA, itemB, sep = "_", remove = FALSE) %>%
group_by(item_pairs) %>%
mutate(mean_freesort_distance = mean(freesort_distance)) %>%
ungroup()
# matrixify and plot
df_mean_freesort_rdm <- df_mean_freesort %>%
distinct(item_pairs, .keep_all = TRUE) %>%
select(itemA, itemB, mean_freesort_distance) %>%
pivot_wider(names_from = itemB, values_from = mean_freesort_distance) %>%
column_to_rownames("itemA")
df_mean_freesort_rdm <- df_mean_freesort_rdm[desired_order, desired_order]
diag(df_mean_freesort_rdm) <- NA #set diagonals
#min max normalize
df_mean_freesort_matrix <- as.matrix(df_mean_freesort_rdm)
min_val <- min(df_mean_freesort_matrix, na.rm = TRUE)
max_val <- max(df_mean_freesort_matrix, na.rm = TRUE)
df_mean_freesort_matrix <- (df_mean_freesort_matrix - min_val) / (max_val - min_val)
#group_colors <- c("#2F2585", "#69ad44", "#f36b2d")
group_colors <- c("#db9728", "#d0495a", "#00788a")
#map each item to a color based on its group
item_colors <- setNames(c(rep(group_colors[1], 5),
rep(group_colors[2], 5),
rep(group_colors[3], 5)),
desired_order)
#ensure colors align with the matrix order
label_colors <- item_colors[rownames(df_mean_freesort_matrix)]
custom_palette <- colorRampPalette(c("red", "white", "blue"))
# pdf(file = paste0(rdms_outputs_path, "/freesort/averageFreesortRDM.pdf"), width = 12, height = 12)
# pdf(file = paste0(rdms_outputs_path, "/freesort/averageFreesortRDM.pdf"), width = 12, height = 12)
#
# cairo_pdf(file = paste0(rdms_outputs_path, "/freesort/averageFreesortRDM.pdf"),
# width = 12, height = 12, bg = "transparent")
# png(file = paste0(rdms_outputs_path, "/freesort/averageFreesortRDM.png"), width = 12, height = 12, bg = "transparent") # For raster
png(
file = paste0(rdms_outputs_path, "/freesort/averageFreesortRDM.png"),
width = 12,
height = 12,
units = "in",
res = 300,
bg = "transparent"
)
#large image
corrplot(
df_mean_freesort_matrix,
method = "color",
is.corr = FALSE,
col = custom_palette(200),
#tl.col = "black", #could be label_colors
tl.col = label_colors, #could be label_colors
tl.cex = 2,
na.label = "square",
na.label.col = "darkgrey",
#title = "Average Freesort RDM",
mar = c(0, 0, 2, 0),
addgrid.col = "darkgray",
cl.offset = 1.0, # Push labels even further
cl.cex = 2, # Slightly smaller label text
cl.ratio = 0.22, # Widen the legend bar. Change this to push words far away
cex.main = 3
)
#run this with the above to include legend for the domain colors
legend(
"topleft",
inset = c(0.1, 0.1), #move the legend outside the plot
legend = c("Mind", "Action", "Body"),
fill = group_colors,
border = NA,
bty = "n", #no box around the legend
cex = 2, #text size
xpd = TRUE, #allow drawing outside the plot area
#ncol = 1,
y.intersp = 1.4 #increase this for more space between rows
)2.5 specific similarity relations reported in paper
compute_ci_freesort <- function(df, condition_label) {
mean_distance <- mean(df$freesort_distance, na.rm = TRUE)
sem <- sd(df$freesort_distance, na.rm = TRUE) / sqrt(nrow(df))
ci_lower <- mean_distance - qt(0.975, df = nrow(df) - 1) * sem
ci_upper <- mean_distance + qt(0.975, df = nrow(df) - 1) * sem
cat(sprintf("%s: mean distance = %.3f [95%% CI: %.3f, %.3f]\n",
condition_label, mean_distance, ci_lower, ci_upper))
}
#compute and print within domain similarities
compute_ci_freesort(df_freesort %>% filter(domain_itemA == "mind", domain_itemB == "mind"), "mind → mind")## mind → mind: mean distance = 0.355 [95% CI: 0.338, 0.373]compute_ci_freesort(df_freesort %>% filter(domain_itemA == "action", domain_itemB == "action"), "action → action")## action → action: mean distance = 0.370 [95% CI: 0.351, 0.390]compute_ci_freesort(df_freesort %>% filter(domain_itemA == "bio", domain_itemB == "bio"), "bio → bio")## bio → bio: mean distance = 0.368 [95% CI: 0.350, 0.386]#compute and print cross domain similarities
compute_ci_freesort(df_freesort %>% filter(domain_itemA == "action", domain_itemB == "mind"), "mind → mind")## mind → mind: mean distance = 0.565 [95% CI: 0.551, 0.580]compute_ci_freesort(df_freesort %>% filter(domain_itemA == "bio", domain_itemB == "mind"), "action → action")## action → action: mean distance = 0.574 [95% CI: 0.561, 0.587]compute_ci_freesort(df_freesort %>% filter(domain_itemA == "bio", domain_itemB == "action"), "bio → bio")## bio → bio: mean distance = 0.582 [95% CI: 0.568, 0.596]compute_ci_freesort(df_freesort %>% filter(domain_itemA == "mind", domain_itemB == "action"), "bio → bio")## bio → bio: mean distance = 0.565 [95% CI: 0.551, 0.580]compute_ci_freesort(df_freesort %>% filter(domain_itemA == "mind", domain_itemB == "bio"), "bio → bio")## bio → bio: mean distance = 0.574 [95% CI: 0.561, 0.587]compute_ci_freesort(df_freesort %>% filter(domain_itemA == "action", domain_itemB == "bio"), "bio → bio")## bio → bio: mean distance = 0.582 [95% CI: 0.568, 0.596]## [1] 0.5738333## [1] 0.36433332.5.1 plot only upper tri
This plot is not illustrated in the paper
pdf(file = paste0(rdms_outputs_path, "/freesort/averageFreesortRDM-uppertri.pdf"), width = 12, height = 12)
#large image
corrplot(
as.matrix(df_mean_freesort_matrix),
method = "color",
is.corr = FALSE,
col = custom_palette(200),
tl.col = label_colors, #could be label_colors
tl.cex = 2,
na.label = "square",
na.label.col = "darkgrey",
#title = "Average Freesort RDM",
mar = c(0, 0, 2, 0),
addgrid.col = "darkgray",
cl.offset = 1.0, #push labels even further
cl.cex = 2, #slightly smaller label text
cl.ratio = 0.22, #widen the legend bar. Change this to push words far away
cex.main = 3,
type = "upper" #show only upper triangular matrix
)2.5.2 lower tri
This plot is not illustrated in the paper. Upper and lower tri identical since the matrix is symmetrical.
pdf(file = paste0(rdms_outputs_path, "/freesort/averageFreesortRDM-lowertri.pdf"), width = 12, height = 12)
#large image
corrplot(
as.matrix(df_mean_freesort_matrix),
method = "color",
is.corr = FALSE,
col = custom_palette(200),
#tl.col = "black", #could be label_colors
# tl.col = label_colors, #could be label_colors
# tl.cex = 2,
tl.pos = "n",
na.label = "square",
na.label.col = "darkgrey",
#title = "Freesort RDM lower tr",
mar = c(0, 0, 2, 0),
addgrid.col = "darkgray",
cl.offset = 1.0, #push labels even further
cl.cex = 2, #slightly smaller label text
cl.ratio = 0.22, #widen the legend bar. Change this to push words far away
cex.main = 3,
type = "lower" #show only lower triangular matrix
)3 Causal RDMs
3.1 plot subject-specific causal RDMs
plot_causal_rdm <- function(data, subject, desired_order) {
df_matrix <- data %>%
filter(subject_id == subject) %>%
select(-subject_id) %>%
select(itemA, itemB, causal_distance) %>%
pivot_wider(names_from = itemB, values_from = causal_distance) %>%
column_to_rownames("itemA")
df_matrix <- df_matrix[desired_order, desired_order]
diag(df_matrix) <- 0
custom_palette <- colorRampPalette(c("red", "white", "blue"))(200)
corrplot(as.matrix(df_matrix), method = "color", is.corr = FALSE,
col = custom_palette, # Apply custom colors
tl.col = "black", title = paste("Causal RDM - ", subject),
mar = c(0, 0, 2, 0), addgrid.col = "darkgray")
}
subject_ids <- unique(df_causal$subject_id)
#generate plots
# plots <- map(subject_ids, ~plot_causal_rdm(df_causal, .x, desired_order)) #run this to generate plots
# save plots with subject name as file name
new_names <- paste0("subj_", str_pad(seq_along(subject_ids), width = 2, pad = "0"))
for (i in seq_along(subject_ids)) {
pdf(file = paste0(base_path, "/study1-measure/figures/causal/", new_names[i], ".pdf"), width = 8, height = 6)
plot_causal_rdm(df_causal, subject_ids[i], desired_order)
dev.off()
}3.2 figure for paper: plot average causal RDM
df_mean_causal <- df_causal %>%
mutate(item_pairs = str_c(itemA, itemB, sep = "-")) %>%
group_by(item_pairs) %>%
mutate(mean_causal_distance = mean(causal_distance, na.rm = TRUE)) %>% #average across participants
ungroup()
df_mean_causal_rdm <- df_mean_causal %>%
distinct(item_pairs, .keep_all = TRUE) %>%
select(itemA, itemB, mean_causal_distance) %>%
pivot_wider(names_from = itemB, values_from = mean_causal_distance) %>%
column_to_rownames("itemA")
df_mean_causal_rdm <- df_mean_causal_rdm[desired_order, desired_order]
diag(df_mean_causal_rdm) <- NA
#min max normalize
df_mean_causal_matrix <- as.matrix(df_mean_causal_rdm)
min_val <- min(df_mean_causal_matrix, na.rm = TRUE)
max_val <- max(df_mean_causal_matrix, na.rm = TRUE)
df_mean_causal_matrix <- (df_mean_causal_matrix - min_val) / (max_val - min_val)
#colors
group_colors <- c("#db9728", "#d0495a", "#00788a")
item_colors <- setNames(c(rep(group_colors[1], 5), #mind
rep(group_colors[2], 5), #action
rep(group_colors[3], 5)), #body
desired_order)
label_colors <- item_colors[rownames(df_mean_causal_rdm)]
custom_palette <- colorRampPalette(c("red", "white", "blue"))
# pdf(file = paste0(rdms_outputs_path, "/causal/averageCausalRDM.pdf"), width = 12, height = 12)
png(
file = paste0(rdms_outputs_path, "/causal/averageCausalRDM.png"),
width = 12,
height = 12,
units = "in",
res = 300,
bg = "transparent"
)
#large image
corrplot(
df_mean_causal_matrix,
method = "color",
is.corr = FALSE,
col = custom_palette(200),
#tl.col = "black",
tl.col = label_colors,
tl.cex = 2,
mar = c(0, 0, 2, 0),
addgrid.col = "darkgray",
na.label = "square",
na.label.col = "darkgrey",
cl.offset = 1.0,
cl.cex = 2, #label text
cl.ratio = 0.22, #push words far away
cex.main = 3
)
#run this together with above to include a domains color legend
legend(
"topleft",
inset = c(0.1, 0.1),
legend = c("Mind", "Action", "Body"),
fill = group_colors,
border = NA,
bty = "n",
cex = 2, #text size
xpd = TRUE, #draw outside the plot area
#ncol = 1,
y.intersp = 1.4 #more space between rows
)3.3 specific causal relations reported in paper
compute_ci <- function(df, condition_label) {
mean_distance <- mean(df$causal_distance, na.rm = TRUE)
sem <- sd(df$causal_distance, na.rm = TRUE) / sqrt(nrow(df))
ci_lower <- mean_distance - qt(0.975, df = nrow(df) - 1) * sem
ci_upper <- mean_distance + qt(0.975, df = nrow(df) - 1) * sem
cat(sprintf("%s: mean distance = %.3f [95%% CI: %.3f, %.3f]\n",
condition_label, mean_distance, ci_lower, ci_upper))
}
#defining and computing each condition
compute_ci(df_causal %>% filter(domain_itemA == "mind", domain_itemB == "action"), "mind → action")## mind → action: mean distance = 0.323 [95% CI: 0.309, 0.337]## action → mind: mean distance = 0.415 [95% CI: 0.399, 0.431]compute_ci(df_causal %>% filter(domain_itemA == "action", domain_itemB == "action"), "action → action")## action → action: mean distance = 0.611 [95% CI: 0.592, 0.630]## body → body: mean distance = 0.381 [95% CI: 0.362, 0.400]## body → action: mean distance = 0.442 [95% CI: 0.424, 0.460]## action → body: mean distance = 0.427 [95% CI: 0.410, 0.445]#Perception → Cognition
compute_ci(df_causal %>%
filter(domain_itemA == "mind", domain_itemB == "mind",
itemA %in% c("hear something", "see something"),
itemB %in% c("choose what to do", "think about something", "remember something")),
"perception → cognition")## perception → cognition: mean distance = 0.149 [95% CI: 0.130, 0.167]#Cognition → Perception
compute_ci(df_causal %>%
filter(domain_itemA == "mind", domain_itemB == "mind",
itemB %in% c("hear something", "see something"),
itemA %in% c("choose what to do", "think about something", "remember something")),
"cognition → perception")## cognition → perception: mean distance = 0.477 [95% CI: 0.442, 0.512]#Seeing → Sick
compute_ci(df_causal %>% filter(itemA == "see something", itemB == "get sick"), "seeing → sick")## seeing → sick: mean distance = 0.390 [95% CI: 0.300, 0.481]#Hearing → Sick
compute_ci(df_causal %>% filter(itemA == "hear something", itemB == "get sick"), "hearing → sick")## hearing → sick: mean distance = 0.606 [95% CI: 0.514, 0.697]4 Correlations: Sorting vs Causal Task
4.1 mean within-subject correlation
compute_subjectwise_rdm_correlation <- function(df_causal, df_freesort, desired_order, metric = "kendall") {
subject_ids <- unique(df_causal$subject_id)
subject_correlations <- numeric(length(subject_ids))
for (i in seq_along(subject_ids)) {
subject <- subject_ids[i]
freesort_rdm <- df_freesort %>%
filter(subject_id == subject) %>%
select(itemA, itemB, freesort_distance) %>%
pivot_wider(names_from = itemB, values_from = freesort_distance) %>%
column_to_rownames("itemA") %>%
as.matrix()
diag(freesort_rdm) <- NA
freesort_rdm <- freesort_rdm[desired_order, desired_order]
causal_rdm <- df_causal %>%
filter(subject_id == subject) %>%
select(itemA, itemB, causal_distance) %>%
pivot_wider(names_from = itemB, values_from = causal_distance) %>%
column_to_rownames("itemA") %>%
as.matrix()
diag(causal_rdm) <- NA
causal_rdm <- causal_rdm[desired_order, desired_order]
freesort_flat <- as.numeric(freesort_rdm)
causal_flat <- as.numeric(causal_rdm)
subject_correlations[i] <- cor(freesort_flat, causal_flat, method = metric, use = "complete.obs")
}
return(subject_correlations)
}
subject_correlations <- compute_subjectwise_rdm_correlation(df_causal, df_freesort, desired_order)
hist(subject_correlations)
## [1] 0.033335674.2 t-test
##
## One Sample t-test
##
## data: subject_correlations
## t = 3.7597, df = 49, p-value = 0.0004539
## alternative hypothesis: true mean is not equal to 0
## 95 percent confidence interval:
## 0.01551768 0.05115366
## sample estimates:
## mean of x
## 0.033335674.3 t-test assumptions
seem fine, so no need for perm test
##
## Shapiro-Wilk normality test
##
## data: subject_correlations
## W = 0.9804, p-value = 0.5689
hist(subject_correlations, main = "Histogram of Subject Correlations",
xlab = "Correlation", col = "lightblue", border = "black")
4.4 correlation between mean rdms
Note that this shows mean rdms are uncorrelated, while previously, we have seen a small positive correlation when we run subject-level correlations
#using Pearson's correlation (non-significant)
mean_rdm_correlations <- cor(as.numeric(df_mean_freesort_matrix),
as.numeric(df_mean_causal_matrix),
method = "pearson", use = "complete.obs")
cor.test(as.numeric(df_mean_freesort_matrix),
as.numeric(df_mean_causal_matrix),
method = "pearson",
use = "complete.obs")##
## Pearson's product-moment correlation
##
## data: as.numeric(df_mean_freesort_matrix) and as.numeric(df_mean_causal_matrix)
## t = 0.78819, df = 208, p-value = 0.4315
## alternative hypothesis: true correlation is not equal to 0
## 95 percent confidence interval:
## -0.08142201 0.18856724
## sample estimates:
## cor
## 0.05456999#using Kendall's correlation (also non-significant)
n_permutations <- 10000
observed_tau <- cor(as.numeric(df_mean_freesort_matrix),
as.numeric(df_mean_causal_matrix),
method = "kendall",
use = "complete.obs")
observed_tau ## [1] 0.01800242null_dist <- replicate(n_permutations, {
permuted <- sample(as.numeric(df_mean_causal_matrix))
cor(as.numeric(df_mean_freesort_matrix), permuted, method = "kendall", use = "complete.obs")
})
p_value <- mean(null_dist >= observed_tau) #one-sided
p_value## [1] 0.35535 Correlations: Data vs Models
5.1 general functions for correlation plot
extract_upper_tri <- function(matrix) {
matrix[upper.tri(matrix)]
}
compute_rdm_correlation <- function(data, emp_col, theor_col, desired_order, method = "kendall") {
rdm1 <- data %>%
select(itemA, itemB, {{ emp_col }}) %>%
pivot_wider(names_from = itemB, values_from = {{ emp_col }}) %>%
column_to_rownames("itemA") %>%
as.matrix()
rdm2 <- data %>%
select(itemA, itemB, {{ theor_col }}) %>%
pivot_wider(names_from = itemB, values_from = {{ theor_col }}) %>%
column_to_rownames("itemA") %>%
as.matrix()
rdm1 <- rdm1[desired_order, desired_order]
rdm2 <- rdm2[desired_order, desired_order]
diag(rdm1) <- NA
diag(rdm2) <- NA
upper_rdm1 <- extract_upper_tri(rdm1)
upper_rdm2 <- extract_upper_tri(rdm2)
cor(upper_rdm1, upper_rdm2, method = method, use = "complete.obs")
}5.2 noise ceiling functions
calculate_freesort_noise_ceiling <- function(data, subjects, desired_order, metric = "kendall") {
# Initialize storage for correlations
upper_bound <- numeric(length(subjects))
lower_bound <- numeric(length(subjects))
for (i in seq_along(subjects)) {
subject <- subjects[i]
#Subject's RDM
subject_rdm <- data %>%
filter(subject_id == subject) %>%
select(subject_id, itemA, itemB, freesort_distance) %>%
pivot_wider(names_from = itemB, values_from = freesort_distance) %>%
column_to_rownames("itemA") %>%
as.matrix()
subject_rdm <- subject_rdm[desired_order, desired_order]
#Grand average RDM
grand_avg_rdm <- data %>%
select(subject_id, itemA, itemB, freesort_distance) %>%
unite("item_pairs", itemA, itemB, sep = "_", remove = FALSE) %>%
group_by(item_pairs) %>%
mutate(freesort_distance = mean(freesort_distance)) %>%
ungroup() %>%
distinct(item_pairs, .keep_all = TRUE) %>%
select(-c(item_pairs, subject_id)) %>%
pivot_wider(names_from = itemB, values_from = freesort_distance) %>%
column_to_rownames("itemA") %>%
as.matrix()
grand_avg_rdm <- grand_avg_rdm[desired_order, desired_order]
#Other subjects' average RDM
other_avg_rdm <- data %>%
select(subject_id, itemA, itemB, freesort_distance) %>%
filter(subject_id != subject) %>%
unite("item_pairs", itemA, itemB, sep = "_", remove = FALSE) %>%
group_by(item_pairs) %>%
mutate(freesort_distance = mean(freesort_distance)) %>%
ungroup() %>%
distinct(item_pairs, .keep_all = TRUE) %>%
select(-c(item_pairs, subject_id)) %>%
pivot_wider(names_from = itemB, values_from = freesort_distance) %>%
column_to_rownames("itemA") %>%
as.matrix()
other_avg_rdm <- other_avg_rdm[desired_order, desired_order]
subject_upper <- as.numeric(subject_rdm[upper.tri(subject_rdm)])
other_upper <- as.numeric(other_avg_rdm[upper.tri(other_avg_rdm)])
grand_upper <- as.numeric(grand_avg_rdm[upper.tri(grand_avg_rdm)])
lower_bound[i] <- cor(subject_upper, other_upper, method = metric)
upper_bound[i] <- cor(subject_upper, grand_upper, method = metric)
}
# Return average bounds
list(
upper_bound = mean(upper_bound, na.rm = TRUE),
lower_bound = mean(lower_bound, na.rm = TRUE)
)
}
calculate_causal_noise_ceiling <- function(data, subjects, desired_order, metric = "kendall") {
#Initialize storage for correlations
upper_tri_upper_bound <- numeric(length(subjects))
upper_tri_lower_bound <- numeric(length(subjects))
lower_tri_upper_bound <- numeric(length(subjects))
lower_tri_lower_bound <- numeric(length(subjects))
#Loop through each subject
for (i in seq_along(subjects)) {
subject <- subjects[i]
#subject's RDM
subject_rdm <- data %>%
filter(subject_id == subject) %>%
select(subject_id, itemA, itemB, causal_distance) %>%
pivot_wider(names_from = itemB, values_from = causal_distance) %>%
column_to_rownames("itemA") %>%
as.matrix()
subject_rdm <- subject_rdm[desired_order, desired_order]
#grand average RDM
grand_avg_rdm <- data %>%
select(subject_id, itemA, itemB, causal_distance) %>%
unite("item_pairs", itemA, itemB, sep = "_", remove = FALSE) %>%
group_by(item_pairs) %>%
mutate(causal_distance = mean(causal_distance)) %>%
ungroup() %>%
distinct(item_pairs, .keep_all = TRUE) %>%
select(-c(item_pairs, subject_id)) %>%
pivot_wider(names_from = itemB, values_from = causal_distance) %>%
column_to_rownames("itemA") %>%
as.matrix()
grand_avg_rdm <- grand_avg_rdm[desired_order, desired_order]
#other subjects' average RDM
other_avg_rdm <- data %>%
select(subject_id, itemA, itemB, causal_distance) %>%
filter(subject_id != subject) %>%
unite("item_pairs", itemA, itemB, sep = "_", remove = FALSE) %>%
group_by(item_pairs) %>%
mutate(causal_distance = mean(causal_distance)) %>%
ungroup() %>%
distinct(item_pairs, .keep_all = TRUE) %>%
select(-c(item_pairs, subject_id)) %>%
pivot_wider(names_from = itemB, values_from = causal_distance) %>%
column_to_rownames("itemA") %>%
as.matrix()
other_avg_rdm <- other_avg_rdm[desired_order, desired_order]
#upper tri noise ceiling
subject_upper <- as.numeric(subject_rdm[upper.tri(subject_rdm)])
other_upper <- as.numeric(other_avg_rdm[upper.tri(other_avg_rdm)])
grand_upper <- as.numeric(grand_avg_rdm[upper.tri(grand_avg_rdm)])
upper_tri_lower_bound[i] <- cor(subject_upper, other_upper, method = metric)
upper_tri_upper_bound[i] <- cor(subject_upper, grand_upper, method = metric)
#lower tri noise ceiling
subject_lower <- as.numeric(subject_rdm[lower.tri(subject_rdm)])
other_lower <- as.numeric(other_avg_rdm[lower.tri(other_avg_rdm)])
grand_lower <- as.numeric(grand_avg_rdm[lower.tri(grand_avg_rdm)])
lower_tri_lower_bound[i] <- cor(subject_lower, other_lower, method = metric)
lower_tri_upper_bound[i] <- cor(subject_lower, grand_lower, method = metric)
}
#return average bounds
list(
upper_tri_upper_bound = mean(upper_tri_upper_bound, na.rm = TRUE),
upper_tri_lower_bound = mean(upper_tri_lower_bound, na.rm = TRUE),
lower_tri_upper_bound = mean(lower_tri_upper_bound, na.rm = TRUE),
lower_tri_lower_bound = mean(lower_tri_lower_bound, na.rm = TRUE)
)
}5.3 calculate Sorting Task noise ceiling
## Rows: 210 Columns: 6
## ── Column specification ────────────────────────────────────────────────────────
## Delimiter: ","
## chr (2): itemA, itemB
## dbl (4): theor1_Mind-Body-Action, theor2_PerCog-OdActSpAct-BodyStimBodynoSti...
##
## ℹ Use `spec()` to retrieve the full column specification for this data.
## ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.d_freesort_correlations <- df_combined %>%
left_join(d_model_predictions, by = c("itemA", "itemB")) %>%
group_by(subject_id) %>%
mutate(
`1_Mind-Body-Action` = compute_rdm_correlation(pick(everything()), freesort_distance, `theor1_Mind-Body-Action`, desired_order),
`2_PerCog-ObjDir-Stimulus` = compute_rdm_correlation(pick(everything()), freesort_distance, `theor2_PerCog-OdActSpAct-BodyStimBodynoStim`, desired_order),
`3_Physical-Ethereal` = compute_rdm_correlation(pick(everything()), freesort_distance, `theor3_Physical-Ethereal`, desired_order),
`4_cosine_similarity` = compute_rdm_correlation(pick(everything()), freesort_distance, `theor4_cosine_similarity`, desired_order),
`5_causal_judgments` = compute_rdm_correlation(pick(everything()), freesort_distance, `causal_distance`, desired_order)
) %>%
ungroup() %>%
relocate(causal_distance, .after = "freesort_distance")
subjects_freesort <- unique(d_freesort_correlations$subject_id)
noise_ceiling_sorting <- calculate_freesort_noise_ceiling(d_freesort_correlations, subjects_freesort, desired_order)
noise_ceiling_sorting## $upper_bound
## [1] 0.2587916
##
## $lower_bound
## [1] 0.2295085.4 calculate Causal Task noise ceiling
d_causal_correlations <- df_combined %>%
left_join(d_model_predictions, by = c("itemA", "itemB")) %>%
group_by(subject_id) %>%
mutate(
`1_Mind-Body-Action` = compute_rdm_correlation(pick(everything()), causal_distance, `theor1_Mind-Body-Action`, desired_order),
`2_PerCog-ObjDir-Stimulus` = compute_rdm_correlation(pick(everything()), causal_distance, `theor2_PerCog-OdActSpAct-BodyStimBodynoStim`, desired_order),
`3_Physical-Ethereal` = compute_rdm_correlation(pick(everything()), causal_distance, `theor3_Physical-Ethereal`, desired_order),
`4_cosine_similarity` = compute_rdm_correlation(pick(everything()), causal_distance, `theor4_cosine_similarity`, desired_order),
`5_causal_judgments` = compute_rdm_correlation(pick(everything()), causal_distance, `causal_distance`, desired_order)
) %>%
ungroup()
# Compute noise ceiling for all subjects
subjects_causal <- unique(d_causal_correlations$subject_id)
noise_ceiling_causal <- calculate_causal_noise_ceiling(d_causal_correlations,subjects_causal, desired_order)
noise_ceiling_causal## $upper_tri_upper_bound
## [1] 0.4413385
##
## $upper_tri_lower_bound
## [1] 0.4263549
##
## $lower_tri_upper_bound
## [1] 0.4130283
##
## $lower_tri_lower_bound
## [1] 0.39716545.5 figure: plot RSA corr between observed and model rdms
aggregated_freesort_correlations <- d_freesort_correlations %>%
rename("3 Category" = `1_Mind-Body-Action`,
"6 Category" = `2_PerCog-ObjDir-Stimulus`,
"2 Category" = `3_Physical-Ethereal`,
"Cosine Similarity" = `4_cosine_similarity`) %>%
pivot_longer(
cols = c("2 Category", "3 Category", "6 Category", "Cosine Similarity"),
names_to = "correlation_type",
values_to = "correlation_value"
) %>%
group_by(subject_id, correlation_type) %>%
summarize(mean_correlation = mean(correlation_value, na.rm = TRUE), .groups = "drop") %>%
mutate(method = "Sorting Task")
aggregated_causal_correlations <- d_causal_correlations %>%
rename("3 Category" = `1_Mind-Body-Action`,
"6 Category" = `2_PerCog-ObjDir-Stimulus`,
"2 Category" = `3_Physical-Ethereal`,
"Cosine Similarity" = `4_cosine_similarity`) %>%
pivot_longer(
cols = c("2 Category", "3 Category", "6 Category", "Cosine Similarity"),
names_to = "correlation_type",
values_to = "correlation_value"
) %>%
group_by(subject_id, correlation_type) %>%
summarize(mean_correlation = mean(correlation_value, na.rm = TRUE), .groups = "drop") %>%
mutate(method = "Causal Task")
#combine both corrs into one
d_combined_correlations <- bind_rows(aggregated_freesort_correlations, aggregated_causal_correlations) %>%
mutate(method = factor(method, levels = c("Sorting Task", "Causal Task")))
bar_plot <- ggplot(d_combined_correlations,
aes(x = reorder(correlation_type, mean_correlation, FUN = function(x) -mean(x)),
y = mean_correlation, fill = method)) +
stat_summary(
fun = "mean",
geom = "bar",
position = "dodge",
color = "black"
) +
stat_summary(
fun.data = mean_se,
geom = "errorbar",
width = 0.3,
position = position_dodge(width = 0.9),
color = "black"
) +
geom_point(aes(color = method), alpha = 0.3, size = 3, position = position_jitterdodge(jitter.width = 0.2)) +
scale_fill_manual(values = c("Sorting Task" = "grey80", "Causal Task" = "#000000")) + #bar fill
scale_color_manual(values = c("Sorting Task" = "darkgray", "Causal Task" = "#4A4A4A")) + #point colors
geom_hline(yintercept = noise_ceiling_sorting$upper_bound, color = "darkgray", linetype = "dashed", linewidth = 0.5) +
geom_hline(yintercept = noise_ceiling_sorting$lower_bound, color = "darkgray", linetype = "dashed", linewidth = 0.5) +
geom_hline(yintercept = noise_ceiling_causal$upper_tri_upper_bound, color = "black", linetype = "dashed", linewidth = 0.5) +
geom_hline(yintercept = noise_ceiling_causal$upper_tri_lower_bound, color = "black", linetype = "dashed", linewidth = 0.5) +
theme_cowplot() +
theme(
panel.background = element_rect(fill = NA, color = NA),
plot.background = element_rect(fill = NA, color = NA),
axis.text.x = element_blank(),
axis.text.y = element_text(size = 16),
axis.ticks.length = unit(.25, "cm"),
axis.title.x = element_blank(),
axis.title.y = element_text(size = 18),
legend.position = "top",
legend.title = element_blank(),
plot.title = element_text(size = 20, face = "bold", hjust = 0.5),
plot.margin = margin(t = 10, r = 10, b = 20, l = 20)
) +
labs(
y = "Kendall's Tau Correlations",
title = "Comparison of Theoretical and Empirical RDM Correlations"
)
# Load and create RDM images
rdm_2_category <- ggdraw() + draw_image(paste0(rdms_input_path, "/theory_4.png"), scale = 1.2)
rdm_3_category <- ggdraw() + draw_image(paste0(rdms_input_path, "/theory_2.png"), scale = 1.2)
rdm_6_category <- ggdraw() + draw_image(paste0(rdms_input_path, "/theory_3.png"), scale = 1.2)
rdm_cosine <- ggdraw() + draw_image(paste0(rdms_input_path, "/theory_1.png"), scale = 1.2)
rdm_row <- rdm_3_category + rdm_6_category + rdm_2_category + rdm_cosine +
plot_layout(ncol = 4)
#
# plot_correlations <- bar_plot / rdm_row +
# plot_layout(heights = c(5, 2)) #adjusts height ratio
plot_correlations <- bar_plot / rdm_row +
plot_layout(heights = c(5, 2)) &
theme(plot.background = element_rect(fill = NA, color = NA))
plot_correlations
# ggsave(
# filename = "figures/rdm_correlation_plot.pdf",
# plot = plot_correlations,
# device = "pdf",
# #path = "path/to/directory",
# width = 12,
# height = 5,
# units = "in"
# )
ggsave(
filename = "figures/correlations/rdm_correlation_plot.png", # ← use PNG instead of PDF
plot = plot_correlations,
device = "png",
width = 12,
height = 6,
units = "in",
dpi = 300,
bg = "transparent" # ← this is key
)5.6 t-tests of correlations
This compared correlations to 0.
t_test_results <- d_combined_correlations %>%
group_by(method, correlation_type) %>%
dplyr::summarise(
mean_mean_correlation = mean(mean_correlation, na.rm = TRUE),
t_value = t.test(mean_correlation, mu = 0)$statistic,
p_value = t.test(mean_correlation, mu = 0)$p.value,
.groups = "drop"
)
print(t_test_results)## # A tibble: 8 × 5
## method correlation_type mean_mean_correlation t_value p_value
## <fct> <chr> <dbl> <dbl> <dbl>
## 1 Sorting Task 2 Category 0.144 6.00 2.35e- 7
## 2 Sorting Task 3 Category 0.254 9.77 4.32e-13
## 3 Sorting Task 6 Category 0.193 11.1 5.27e-15
## 4 Sorting Task Cosine Similarity 0.129 7.95 2.31e-10
## 5 Causal Task 2 Category -0.0823 -4.96 8.90e- 6
## 6 Causal Task 3 Category -0.0357 -2.93 5.10e- 3
## 7 Causal Task 6 Category -0.0569 -6.20 1.16e- 7
## 8 Causal Task Cosine Similarity -0.0797 -7.49 1.14e- 96 Linear models comparing the 4 hypotheses
6.1 freesort data
Reported in main paper
freesort_correlations <- d_freesort_correlations %>%
rename("mind_action_physiology_model" = `1_Mind-Body-Action`,
"finegrained_mind_action_physiology_model" = `2_PerCog-ObjDir-Stimulus`,
"physical_psychological_model" = `3_Physical-Ethereal`,
"use_phrase_embeddings_model" = `4_cosine_similarity`) %>%
pivot_longer(
cols = c("mind_action_physiology_model":"use_phrase_embeddings_model"),
names_to = "RDM_type",
values_to = "tau"
) %>%
select(subject_id, itemA, itemB, domain_itemA, domain_itemB, trial_type_order, freesort_distance, causal_distance, RDM_type, tau) %>%
mutate(
RDM_type = as.factor(RDM_type),
RDM_type = relevel(RDM_type, ref = "mind_action_physiology_model")
)
#ensure subject_id is a factor, for running simr later
freesort_correlations <- freesort_correlations %>%
mutate(subject_id = as.factor(subject_id))
#summarize to 1 row per subject per model
subject_level_data <- freesort_correlations %>%
distinct(subject_id, RDM_type, .keep_all = TRUE) %>%
select(subject_id, RDM_type, tau)
#Note: mind action physiology is reference model. Estiamtes are mean kendall's taus
model_freesort <- lmerTest::lmer(tau ~ RDM_type + (1 | subject_id),
data = subject_level_data)
summary(model_freesort)## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: tau ~ RDM_type + (1 | subject_id)
## Data: subject_level_data
##
## REML criterion at convergence: -250.6
##
## Scaled residuals:
## Min 1Q Median 3Q Max
## -2.16101 -0.57970 -0.09903 0.53510 3.03194
##
## Random effects:
## Groups Name Variance Std.Dev.
## subject_id (Intercept) 0.013304 0.11534
## Residual 0.009363 0.09676
## Number of obs: 200, groups: subject_id, 50
##
## Fixed effects:
## Estimate Std. Error df
## (Intercept) 0.25383 0.02129 96.38760
## RDM_typefinegrained_mind_action_physiology_model -0.06049 0.01935 147.00000
## RDM_typephysical_psychological_model -0.11026 0.01935 147.00000
## RDM_typeuse_phrase_embeddings_model -0.12482 0.01935 147.00000
## t value Pr(>|t|)
## (Intercept) 11.922 < 2e-16 ***
## RDM_typefinegrained_mind_action_physiology_model -3.126 0.00214 **
## RDM_typephysical_psychological_model -5.698 6.42e-08 ***
## RDM_typeuse_phrase_embeddings_model -6.450 1.52e-09 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Correlation of Fixed Effects:
## (Intr) RDM_____ RDM_t__
## RDM_typ____ -0.454
## RDM_typph__ -0.454 0.500
## RDM_typs___ -0.454 0.500 0.5006.2 getting CIs
#for mind action and physiology model
d_target <- d_combined_correlations %>%
filter(correlation_type == "3 Category", method == "Sorting Task")
t_test <- t.test(d_target$mean_correlation, mu = 0)
t_test$estimate #mean Kendall's tau## mean of x
## 0.2538288## [1] 0.2016248 0.3060328
## attr(,"conf.level")
## [1] 0.957 Causal vs Freesort Models
7.1 wrangle data
Testing if the best model for the Freesort data (i.e. if Mind, action and physiology is good or bad at describing the Causal data)
taus_causal <- d_causal_correlations %>%
rename("mind_action_physiology_model" = `1_Mind-Body-Action`,
"finegrained_mind_action_physiology_model" = `2_PerCog-ObjDir-Stimulus`,
"physical_psychological_model" = `3_Physical-Ethereal`,
"use_phrase_embeddings_model" = `4_cosine_similarity`) %>%
pivot_longer(
cols = c("mind_action_physiology_model":"use_phrase_embeddings_model"),
names_to = "RDM_type",
values_to = "tau"
) %>%
filter(RDM_type == "mind_action_physiology_model") %>%
rename("causal" = tau) %>%
distinct(subject_id, .keep_all = TRUE) %>%
select(subject_id, causal)
taus_freesort <- d_freesort_correlations %>%
rename("mind_action_physiology_model" = `1_Mind-Body-Action`,
"finegrained_mind_action_physiology_model" = `2_PerCog-ObjDir-Stimulus`,
"physical_psychological_model" = `3_Physical-Ethereal`,
"use_phrase_embeddings_model" = `4_cosine_similarity`) %>%
pivot_longer(
cols = c("mind_action_physiology_model":"use_phrase_embeddings_model"),
names_to = "RDM_type",
values_to = "tau"
) %>%
filter(RDM_type == "mind_action_physiology_model") %>%
rename("freesort" = tau) %>%
distinct(subject_id, .keep_all = TRUE) %>%
select(subject_id, freesort)
combined_taus <- taus_causal %>%
left_join(taus_freesort,
by = "subject_id") %>%
pivot_longer(cols = c(causal, freesort),
names_to = "task",
values_to = "tau") %>%
mutate(
task = as.factor(task),
task = relevel(task, ref = "freesort")
) %>%
mutate(subject_id = as.factor(subject_id))
model_prediction2 <- lmerTest::lmer(tau ~ task + (1|subject_id), data = combined_taus)
summary(model_prediction2)## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: tau ~ task + (1 | subject_id)
## Data: combined_taus
##
## REML criterion at convergence: -95.4
##
## Scaled residuals:
## Min 1Q Median 3Q Max
## -2.16565 -0.55581 0.01977 0.50180 2.61279
##
## Random effects:
## Groups Name Variance Std.Dev.
## subject_id (Intercept) 0.002424 0.04924
## Residual 0.018143 0.13470
## Number of obs: 100, groups: subject_id, 50
##
## Fixed effects:
## Estimate Std. Error df t value Pr(>|t|)
## (Intercept) 0.25383 0.02028 96.65704 12.52 < 2e-16 ***
## taskcausal -0.28949 0.02694 49.00000 -10.75 1.75e-14 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Correlation of Fixed Effects:
## (Intr)
## taskcausal -0.6647.2 plot: Map model explaining causal vs freesort
Compare Mind action physiology fit with freesort vs causal data
ggplot(combined_taus, aes(x = task, y = tau)) +
geom_boxplot(outlier.shape = NA, fill = "lightgray") +
geom_jitter(width = 0.2, alpha = 0.5) +
labs(title = "Comparison of Tau Values by Task",
x = "Task",
y = "Tau") +
scale_fill_manual(values = c("Sorting Task" = "darkgray", "Causal Task" = "black")) + #bar fill
scale_color_manual(values = c("Sorting Task" = "lightgray", "Causal Task" = "#4A4A4A")) +
theme_bw()## Warning: No shared levels found between `names(values)` of the manual scale and the
## data's fill values.## Warning: No shared levels found between `names(values)` of the manual scale and the
## data's colour values.
ggplot(combined_taus, aes(x = task, y = tau, fill = task)) +
geom_boxplot(outlier.shape = NA, alpha = 0.6) +
geom_jitter(width = 0.2, alpha = 0.5, aes(color = task)) +
scale_fill_manual(values = c("freesort" = "darkgray", "causal" = "black")) +
scale_color_manual(values = c("freesort" = "darkgray", "causal" = "black")) +
labs(title = "Comparison of Tau Values by Task",
x = "Task",
y = "Tau") +
theme_bw() +
theme(legend.position = "none",
axis.text.x = element_text(size = 14),
axis.text.y = element_text(size = 14),
axis.title.x = element_text(size = 16),
axis.title.y = element_text(size = 16)) 
8 Power analysis using simr
For planning follow-up studies (i.e. replicating study 1 and 2).
8.1 simulate effect of all 4 models
# #suppose we want a study with 100 participants..
model_sim <- extend(model_freesort, along = "subject_id", n = 100)
length(unique(simr::getData(model_sim)$subject_id)) #confirm that N is now 100## [1] 100# Leave this code commented out
# #and we want to replicate the lower limit effect size, assuming pilot is inflated..
# ## fixef(model_sim)["(Intercept)"] <- 0.202
# #what would the power be?
#sim_inercept <- powerSim(model_sim, fixed("(Intercept)", "t"), nsim = 100)
#sim_inercept
#========OR
#Uncomment this and run (if commented out)
# #what would the power curve be for different sample sizes for the intercept?
# #intercept
pbapply::pboptions(type = "none") # disables the progress bars
curve_intercept <- powerCurve(model_sim, fixed("(Intercept)", "t"),
along = "subject_id",
breaks = c(2, 5, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100),
nsim = 100)## Simulating: | |Simulating: |= |Simulating: |== |Simulating: |=== |Simulating: |==== |Simulating: |===== |Simulating: |====== |Simulating: |======= |Simulating: |======== |Simulating: |========= |Simulating: |========== |Simulating: |=========== |Simulating: |============ |Simulating: |============= |Simulating: |============== |Simulating: |=============== |Simulating: |================ |Simulating: |================= |Simulating: |================== |Simulating: |=================== |Simulating: |==================== |Simulating: |===================== |Simulating: |====================== |Simulating: |======================= |Simulating: |======================== |Simulating: |========================= |Simulating: |========================== |Simulating: |=========================== |Simulating: |============================ |Simulating: |============================= |Simulating: |============================== |Simulating: |=============================== |Simulating: |================================ |Simulating: |================================= |Simulating: |================================== |Simulating: |=================================== |Simulating: |==================================== |Simulating: |===================================== |Simulating: |====================================== |Simulating: |======================================= |Simulating: |======================================== |Simulating: |========================================= |Simulating: |========================================== |Simulating: |=========================================== |Simulating: |============================================ |Simulating: |============================================= |Simulating: |============================================== |Simulating: |=============================================== |Simulating: |================================================ |Simulating: |================================================= |Simulating: |================================================== |Simulating: |=================================================== |Simulating: |==================================================== |Simulating: |===================================================== |Simulating: |====================================================== |Simulating: |======================================================= |Simulating: |======================================================== |Simulating: |========================================================= |Simulating: |========================================================== |Simulating: |=========================================================== |Simulating: |============================================================ |Simulating: |============================================================= |Simulating: |============================================================== |Simulating: |=============================================================== |Simulating: |================================================================ |Simulating: |================================================================= |Simulating: |==================================================================|( 1/12) ( 1/12) Simulating: | |( 1/12) Simulating: |= |( 1/12) Simulating: |== |( 1/12) Simulating: |=== |( 1/12) Simulating: |==== |( 1/12) Simulating: |===== |( 1/12) Simulating: |====== |( 1/12) Simulating: |======= |( 1/12) Simulating: |======== |( 1/12) Simulating: |========= |( 1/12) Simulating: |========== |( 1/12) Simulating: |=========== |( 1/12) Simulating: |============ |( 1/12) Simulating: |============= |( 1/12) Simulating: |============== |( 1/12) Simulating: |=============== |( 1/12) Simulating: |================ |( 1/12) Simulating: |================= |( 1/12) Simulating: |================== |( 1/12) Simulating: |=================== |( 1/12) Simulating: |==================== |( 1/12) Simulating: |===================== |( 1/12) Simulating: |====================== |( 1/12) Simulating: |======================= |( 1/12) Simulating: |======================== |( 1/12) Simulating: |========================= |( 1/12) Simulating: |========================== |( 1/12) Simulating: |=========================== |( 1/12) Simulating: |============================ |( 1/12) Simulating: |============================= |( 1/12) Simulating: |============================== |( 1/12) Simulating: |=============================== |( 1/12) Simulating: |================================ |( 1/12) Simulating: |================================= |( 1/12) Simulating: |================================== |( 1/12) Simulating: |=================================== |( 1/12) Simulating: |==================================== |( 1/12) Simulating: |===================================== |( 1/12) Simulating: |====================================== |( 1/12) Simulating: |======================================= |( 1/12) Simulating: |======================================== |( 1/12) Simulating: |========================================= |( 1/12) Simulating: |========================================== |( 1/12) Simulating: |=========================================== |( 1/12) Simulating: |============================================ |( 1/12) Simulating: |============================================= |( 1/12) Simulating: |============================================== |( 1/12) Simulating: |=============================================== |( 1/12) Simulating: |================================================ |( 1/12) Simulating: |================================================= |( 1/12) Simulating: |================================================== |( 1/12) Simulating: |=================================================== |( 1/12) Simulating: |==================================================== |( 1/12) Simulating: |===================================================== |( 1/12) Simulating: |====================================================== |( 1/12) Simulating: |======================================================= |( 1/12) Simulating: |======================================================== |( 1/12) Simulating: |========================================================= |( 1/12) Simulating: |==========================================================|( 1/12) ( 2/12) ( 2/12) Simulating: | |( 2/12) Simulating: |= |( 2/12) Simulating: |== |( 2/12) Simulating: |=== |( 2/12) Simulating: |==== |( 2/12) Simulating: |===== |( 2/12) Simulating: |====== |( 2/12) Simulating: |======= |( 2/12) Simulating: |======== |( 2/12) Simulating: |========= |( 2/12) Simulating: |========== |( 2/12) Simulating: |=========== |( 2/12) Simulating: |============ |( 2/12) Simulating: |============= |( 2/12) Simulating: |============== |( 2/12) Simulating: |=============== |( 2/12) Simulating: |================ |( 2/12) Simulating: |================= |( 2/12) Simulating: |================== |( 2/12) Simulating: |=================== |( 2/12) Simulating: |==================== |( 2/12) Simulating: |===================== |( 2/12) Simulating: |====================== |( 2/12) Simulating: |======================= |( 2/12) Simulating: |======================== |( 2/12) Simulating: |========================= |( 2/12) Simulating: |========================== |( 2/12) Simulating: |=========================== |( 2/12) Simulating: |============================ |( 2/12) Simulating: |============================= |( 2/12) Simulating: |============================== |( 2/12) Simulating: |=============================== |( 2/12) Simulating: |================================ |( 2/12) Simulating: |================================= |( 2/12) Simulating: |================================== |( 2/12) Simulating: |=================================== |( 2/12) Simulating: |==================================== |( 2/12) Simulating: |===================================== |( 2/12) Simulating: |====================================== |( 2/12) Simulating: |======================================= |( 2/12) Simulating: |======================================== |( 2/12) Simulating: |========================================= |( 2/12) Simulating: |========================================== |( 2/12) Simulating: |=========================================== |( 2/12) Simulating: |============================================ |( 2/12) Simulating: |============================================= |( 2/12) Simulating: |============================================== |( 2/12) Simulating: |=============================================== |( 2/12) Simulating: |================================================ |( 2/12) Simulating: |================================================= |( 2/12) Simulating: |================================================== |( 2/12) Simulating: |=================================================== |( 2/12) Simulating: |==================================================== |( 2/12) Simulating: |===================================================== |( 2/12) Simulating: |====================================================== |( 2/12) Simulating: |======================================================= |( 2/12) Simulating: |======================================================== |( 2/12) Simulating: |========================================================= |( 2/12) Simulating: |==========================================================|( 2/12) ( 3/12) ( 3/12) Simulating: | |( 3/12) Simulating: |= |( 3/12) Simulating: |== |( 3/12) Simulating: |=== |( 3/12) Simulating: |==== |( 3/12) Simulating: |===== |( 3/12) Simulating: |====== |( 3/12) Simulating: |======= |( 3/12) Simulating: |======== |( 3/12) Simulating: |========= |( 3/12) Simulating: |========== |( 3/12) Simulating: |=========== |( 3/12) Simulating: |============ |( 3/12) Simulating: |============= |( 3/12) Simulating: |============== |( 3/12) Simulating: |=============== |( 3/12) Simulating: |================ |( 3/12) Simulating: |================= |( 3/12) Simulating: |================== |( 3/12) Simulating: |=================== |( 3/12) Simulating: |==================== |( 3/12) Simulating: |===================== |( 3/12) Simulating: |====================== |( 3/12) Simulating: |======================= |( 3/12) Simulating: |======================== |( 3/12) Simulating: |========================= |( 3/12) Simulating: |========================== |( 3/12) Simulating: |=========================== |( 3/12) Simulating: |============================ |( 3/12) Simulating: |============================= |( 3/12) Simulating: |============================== |( 3/12) Simulating: |=============================== |( 3/12) Simulating: |================================ |( 3/12) Simulating: |================================= |( 3/12) Simulating: |================================== |( 3/12) Simulating: |=================================== |( 3/12) Simulating: |==================================== |( 3/12) Simulating: |===================================== |( 3/12) Simulating: |====================================== |( 3/12) Simulating: |======================================= |( 3/12) Simulating: |======================================== |( 3/12) Simulating: |========================================= |( 3/12) Simulating: |========================================== |( 3/12) Simulating: |=========================================== |( 3/12) Simulating: |============================================ |( 3/12) Simulating: |============================================= |( 3/12) Simulating: |============================================== |( 3/12) Simulating: |=============================================== |( 3/12) Simulating: |================================================ |( 3/12) Simulating: |================================================= |( 3/12) Simulating: |================================================== |( 3/12) Simulating: |=================================================== |( 3/12) Simulating: |==================================================== |( 3/12) Simulating: |===================================================== |( 3/12) Simulating: |====================================================== |( 3/12) Simulating: |======================================================= |( 3/12) Simulating: |======================================================== |( 3/12) Simulating: |========================================================= |( 3/12) Simulating: |==========================================================|( 3/12) ( 4/12) ( 4/12) Simulating: | |( 4/12) Simulating: |= |( 4/12) Simulating: |== |( 4/12) Simulating: |=== |( 4/12) Simulating: |==== |( 4/12) Simulating: |===== |( 4/12) Simulating: |====== |( 4/12) Simulating: |======= |( 4/12) Simulating: |======== |( 4/12) Simulating: |========= |( 4/12) Simulating: |========== |( 4/12) Simulating: |=========== |( 4/12) Simulating: |============ |( 4/12) Simulating: |============= |( 4/12) Simulating: |============== |( 4/12) Simulating: |=============== |( 4/12) Simulating: |================ |( 4/12) Simulating: |================= |( 4/12) Simulating: |================== |( 4/12) Simulating: |=================== |( 4/12) Simulating: |==================== |( 4/12) Simulating: |===================== |( 4/12) Simulating: |====================== |( 4/12) Simulating: |======================= |( 4/12) Simulating: |======================== |( 4/12) Simulating: |========================= |( 4/12) Simulating: |========================== |( 4/12) Simulating: |=========================== |( 4/12) Simulating: |============================ |( 4/12) Simulating: |============================= |( 4/12) Simulating: |============================== |( 4/12) Simulating: |=============================== |( 4/12) Simulating: |================================ |( 4/12) Simulating: |================================= |( 4/12) Simulating: |================================== |( 4/12) Simulating: |=================================== |( 4/12) Simulating: |==================================== |( 4/12) Simulating: |===================================== |( 4/12) Simulating: |====================================== |( 4/12) Simulating: |======================================= |( 4/12) Simulating: |======================================== |( 4/12) Simulating: |========================================= |( 4/12) Simulating: |========================================== |( 4/12) Simulating: |=========================================== |( 4/12) Simulating: |============================================ |( 4/12) Simulating: |============================================= |( 4/12) Simulating: |============================================== |( 4/12) Simulating: |=============================================== |( 4/12) Simulating: |================================================ |( 4/12) Simulating: |================================================= |( 4/12) Simulating: |================================================== |( 4/12) Simulating: |=================================================== |( 4/12) Simulating: |==================================================== |( 4/12) Simulating: |===================================================== |( 4/12) Simulating: |====================================================== |( 4/12) Simulating: |======================================================= |( 4/12) Simulating: |======================================================== |( 4/12) Simulating: |========================================================= |( 4/12) Simulating: |==========================================================|( 4/12) ( 5/12) ( 5/12) Simulating: | |( 5/12) Simulating: |= |( 5/12) Simulating: |== |( 5/12) Simulating: |=== |( 5/12) Simulating: |==== |( 5/12) Simulating: |===== |( 5/12) Simulating: |====== |( 5/12) Simulating: |======= |( 5/12) Simulating: |======== |( 5/12) Simulating: |========= |( 5/12) Simulating: |========== |( 5/12) Simulating: |=========== |( 5/12) Simulating: |============ |( 5/12) Simulating: |============= |( 5/12) Simulating: |============== |( 5/12) Simulating: |=============== |( 5/12) Simulating: |================ |( 5/12) Simulating: |================= |( 5/12) Simulating: |================== |( 5/12) Simulating: |=================== |( 5/12) Simulating: |==================== |( 5/12) Simulating: |===================== |( 5/12) Simulating: |====================== |( 5/12) Simulating: |======================= |( 5/12) Simulating: |======================== |( 5/12) Simulating: |========================= |( 5/12) Simulating: |========================== |( 5/12) Simulating: |=========================== |( 5/12) Simulating: |============================ |( 5/12) Simulating: |============================= |( 5/12) Simulating: |============================== |( 5/12) Simulating: |=============================== |( 5/12) Simulating: |================================ |( 5/12) Simulating: |================================= |( 5/12) Simulating: |================================== |( 5/12) Simulating: |=================================== |( 5/12) Simulating: |==================================== |( 5/12) Simulating: |===================================== |( 5/12) Simulating: |====================================== |( 5/12) Simulating: |======================================= |( 5/12) Simulating: |======================================== |( 5/12) Simulating: |========================================= |( 5/12) Simulating: |========================================== |( 5/12) Simulating: |=========================================== |( 5/12) Simulating: |============================================ |( 5/12) Simulating: |============================================= |( 5/12) Simulating: |============================================== |( 5/12) Simulating: |=============================================== |( 5/12) Simulating: |================================================ |( 5/12) Simulating: |================================================= |( 5/12) Simulating: |================================================== |( 5/12) Simulating: |=================================================== |( 5/12) Simulating: |==================================================== |( 5/12) Simulating: |===================================================== |( 5/12) Simulating: |====================================================== |( 5/12) Simulating: |======================================================= |( 5/12) Simulating: |======================================================== |( 5/12) Simulating: |========================================================= |( 5/12) Simulating: |==========================================================|( 5/12) ( 6/12) ( 6/12) Simulating: | |( 6/12) Simulating: |= |( 6/12) Simulating: |== |( 6/12) Simulating: |=== |( 6/12) Simulating: |==== |( 6/12) Simulating: |===== |( 6/12) Simulating: |====== |( 6/12) Simulating: |======= |( 6/12) Simulating: |======== |( 6/12) Simulating: |========= |( 6/12) Simulating: |========== |( 6/12) Simulating: |=========== |( 6/12) Simulating: |============ |( 6/12) Simulating: |============= |( 6/12) Simulating: |============== |( 6/12) Simulating: |=============== |( 6/12) Simulating: |================ |( 6/12) Simulating: |================= |( 6/12) Simulating: |================== |( 6/12) Simulating: |=================== |( 6/12) Simulating: |==================== |( 6/12) Simulating: |===================== |( 6/12) Simulating: |====================== |( 6/12) Simulating: |======================= |( 6/12) Simulating: |======================== |( 6/12) Simulating: |========================= |( 6/12) Simulating: |========================== |( 6/12) Simulating: |=========================== |( 6/12) Simulating: |============================ |( 6/12) Simulating: |============================= |( 6/12) Simulating: |============================== |( 6/12) Simulating: |=============================== |( 6/12) Simulating: |================================ |( 6/12) Simulating: |================================= |( 6/12) Simulating: |================================== |( 6/12) Simulating: |=================================== |( 6/12) Simulating: |==================================== |( 6/12) Simulating: |===================================== |( 6/12) Simulating: |====================================== |( 6/12) Simulating: |======================================= |( 6/12) Simulating: |======================================== |( 6/12) Simulating: |========================================= |( 6/12) Simulating: |========================================== |( 6/12) Simulating: |=========================================== |( 6/12) Simulating: |============================================ |( 6/12) Simulating: |============================================= |( 6/12) Simulating: |============================================== |( 6/12) Simulating: |=============================================== |( 6/12) Simulating: |================================================ |( 6/12) Simulating: |================================================= |( 6/12) Simulating: |================================================== |( 6/12) Simulating: |=================================================== |( 6/12) Simulating: |==================================================== |( 6/12) Simulating: |===================================================== |( 6/12) Simulating: |====================================================== |( 6/12) Simulating: |======================================================= |( 6/12) Simulating: |======================================================== |( 6/12) Simulating: |========================================================= |( 6/12) Simulating: |==========================================================|( 6/12) ( 7/12) ( 7/12) Simulating: | |( 7/12) Simulating: |= |( 7/12) Simulating: |== |( 7/12) Simulating: |=== |( 7/12) Simulating: |==== |( 7/12) Simulating: |===== |( 7/12) Simulating: |====== |( 7/12) Simulating: |======= |( 7/12) Simulating: |======== |( 7/12) Simulating: |========= |( 7/12) Simulating: |========== |( 7/12) Simulating: |=========== |( 7/12) Simulating: |============ |( 7/12) Simulating: |============= |( 7/12) Simulating: |============== |( 7/12) Simulating: |=============== |( 7/12) Simulating: |================ |( 7/12) Simulating: |================= |( 7/12) Simulating: |================== |( 7/12) Simulating: |=================== |( 7/12) Simulating: |==================== |( 7/12) Simulating: |===================== |( 7/12) Simulating: |====================== |( 7/12) Simulating: |======================= |( 7/12) Simulating: |======================== |( 7/12) Simulating: |========================= |( 7/12) Simulating: |========================== |( 7/12) Simulating: |=========================== |( 7/12) Simulating: |============================ |( 7/12) Simulating: |============================= |( 7/12) Simulating: |============================== |( 7/12) Simulating: |=============================== |( 7/12) Simulating: |================================ |( 7/12) Simulating: |================================= |( 7/12) Simulating: |================================== |( 7/12) Simulating: |=================================== |( 7/12) Simulating: |==================================== |( 7/12) Simulating: |===================================== |( 7/12) Simulating: |====================================== |( 7/12) Simulating: |======================================= |( 7/12) Simulating: |======================================== |( 7/12) Simulating: |========================================= |( 7/12) Simulating: |========================================== |( 7/12) Simulating: |=========================================== |( 7/12) Simulating: |============================================ |( 7/12) Simulating: |============================================= |( 7/12) Simulating: |============================================== |( 7/12) Simulating: |=============================================== |( 7/12) Simulating: |================================================ |( 7/12) Simulating: |================================================= |( 7/12) Simulating: |================================================== |( 7/12) Simulating: |=================================================== |( 7/12) Simulating: |==================================================== |( 7/12) Simulating: |===================================================== |( 7/12) Simulating: |====================================================== |( 7/12) Simulating: |======================================================= |( 7/12) Simulating: |======================================================== |( 7/12) Simulating: |========================================================= |( 7/12) Simulating: |==========================================================|( 7/12) ( 8/12) ( 8/12) Simulating: | |( 8/12) Simulating: |= |( 8/12) Simulating: |== |( 8/12) Simulating: |=== |( 8/12) Simulating: |==== |( 8/12) Simulating: |===== |( 8/12) Simulating: |====== |( 8/12) Simulating: |======= |( 8/12) Simulating: |======== |( 8/12) Simulating: |========= |( 8/12) Simulating: |========== |( 8/12) Simulating: |=========== |( 8/12) Simulating: |============ |( 8/12) Simulating: |============= |( 8/12) Simulating: |============== |( 8/12) Simulating: |=============== |( 8/12) Simulating: |================ |( 8/12) Simulating: |================= |( 8/12) Simulating: |================== |( 8/12) Simulating: |=================== |( 8/12) Simulating: |==================== |( 8/12) Simulating: |===================== |( 8/12) Simulating: |====================== |( 8/12) Simulating: |======================= |( 8/12) Simulating: |======================== |( 8/12) Simulating: |========================= |( 8/12) Simulating: |========================== |( 8/12) Simulating: |=========================== |( 8/12) Simulating: |============================ |( 8/12) Simulating: |============================= |( 8/12) Simulating: |============================== |( 8/12) Simulating: |=============================== |( 8/12) Simulating: |================================ |( 8/12) Simulating: |================================= |( 8/12) Simulating: |================================== |( 8/12) Simulating: |=================================== |( 8/12) Simulating: |==================================== |( 8/12) Simulating: |===================================== |( 8/12) Simulating: |====================================== |( 8/12) Simulating: |======================================= |( 8/12) Simulating: |======================================== |( 8/12) Simulating: |========================================= |( 8/12) Simulating: |========================================== |( 8/12) Simulating: |=========================================== |( 8/12) Simulating: |============================================ |( 8/12) Simulating: |============================================= |( 8/12) Simulating: |============================================== |( 8/12) Simulating: |=============================================== |( 8/12) Simulating: |================================================ |( 8/12) Simulating: |================================================= |( 8/12) Simulating: |================================================== |( 8/12) Simulating: |=================================================== |( 8/12) Simulating: |==================================================== |( 8/12) Simulating: |===================================================== |( 8/12) Simulating: |====================================================== |( 8/12) Simulating: |======================================================= |( 8/12) Simulating: |======================================================== |( 8/12) Simulating: |========================================================= |( 8/12) Simulating: |==========================================================|( 8/12) ( 9/12) ( 9/12) Simulating: | |( 9/12) Simulating: |= |( 9/12) Simulating: |== |( 9/12) Simulating: |=== |( 9/12) Simulating: |==== |( 9/12) Simulating: |===== |( 9/12) Simulating: |====== |( 9/12) Simulating: |======= |( 9/12) Simulating: |======== |( 9/12) Simulating: |========= |( 9/12) Simulating: |========== |( 9/12) Simulating: |=========== |( 9/12) Simulating: |============ |( 9/12) Simulating: |============= |( 9/12) Simulating: |============== |( 9/12) Simulating: |=============== |( 9/12) Simulating: |================ |( 9/12) Simulating: |================= |( 9/12) Simulating: |================== |( 9/12) Simulating: |=================== |( 9/12) Simulating: |==================== |( 9/12) Simulating: |===================== |( 9/12) Simulating: |====================== |( 9/12) Simulating: |======================= |( 9/12) Simulating: |======================== |( 9/12) Simulating: |========================= |( 9/12) Simulating: |========================== |( 9/12) Simulating: |=========================== |( 9/12) Simulating: |============================ |( 9/12) Simulating: |============================= |( 9/12) Simulating: |============================== |( 9/12) Simulating: |=============================== |( 9/12) Simulating: |================================ |( 9/12) Simulating: |================================= |( 9/12) Simulating: |================================== |( 9/12) Simulating: |=================================== |( 9/12) Simulating: |==================================== |( 9/12) Simulating: |===================================== |( 9/12) Simulating: |====================================== |( 9/12) Simulating: |======================================= |( 9/12) Simulating: |======================================== |( 9/12) Simulating: |========================================= |( 9/12) Simulating: |========================================== |( 9/12) Simulating: |=========================================== |( 9/12) Simulating: |============================================ |( 9/12) Simulating: |============================================= |( 9/12) Simulating: |============================================== |( 9/12) Simulating: |=============================================== |( 9/12) Simulating: |================================================ |( 9/12) Simulating: |================================================= |( 9/12) Simulating: |================================================== |( 9/12) Simulating: |=================================================== |( 9/12) Simulating: |==================================================== |( 9/12) Simulating: |===================================================== |( 9/12) Simulating: |====================================================== |( 9/12) Simulating: |======================================================= |( 9/12) Simulating: |======================================================== |( 9/12) Simulating: |========================================================= |( 9/12) Simulating: |==========================================================|( 9/12) (10/12) (10/12) Simulating: | |(10/12) Simulating: |= |(10/12) Simulating: |== |(10/12) Simulating: |=== |(10/12) Simulating: |==== |(10/12) Simulating: |===== |(10/12) Simulating: |====== |(10/12) Simulating: |======= |(10/12) Simulating: |======== |(10/12) Simulating: |========= |(10/12) Simulating: |========== |(10/12) Simulating: |=========== |(10/12) Simulating: |============ |(10/12) Simulating: |============= |(10/12) Simulating: |============== |(10/12) Simulating: |=============== |(10/12) Simulating: |================ |(10/12) Simulating: |================= |(10/12) Simulating: |================== |(10/12) Simulating: |=================== |(10/12) Simulating: |==================== |(10/12) Simulating: |===================== |(10/12) Simulating: |====================== |(10/12) Simulating: |======================= |(10/12) Simulating: |======================== |(10/12) Simulating: |========================= |(10/12) Simulating: |========================== |(10/12) Simulating: |=========================== |(10/12) Simulating: |============================ |(10/12) Simulating: |============================= |(10/12) Simulating: |============================== |(10/12) Simulating: |=============================== |(10/12) Simulating: |================================ |(10/12) Simulating: |================================= |(10/12) Simulating: |================================== |(10/12) Simulating: |=================================== |(10/12) Simulating: |==================================== |(10/12) Simulating: |===================================== |(10/12) Simulating: |====================================== |(10/12) Simulating: |======================================= |(10/12) Simulating: |======================================== |(10/12) Simulating: |========================================= |(10/12) Simulating: |========================================== |(10/12) Simulating: |=========================================== |(10/12) Simulating: |============================================ |(10/12) Simulating: |============================================= |(10/12) Simulating: |============================================== |(10/12) Simulating: |=============================================== |(10/12) Simulating: |================================================ |(10/12) Simulating: |================================================= |(10/12) Simulating: |================================================== |(10/12) Simulating: |=================================================== |(10/12) Simulating: |==================================================== |(10/12) Simulating: |===================================================== |(10/12) Simulating: |====================================================== |(10/12) Simulating: |======================================================= |(10/12) Simulating: |======================================================== |(10/12) Simulating: |========================================================= |(10/12) Simulating: |==========================================================|(10/12) (11/12) (11/12) Simulating: | |(11/12) Simulating: |= |(11/12) Simulating: |== |(11/12) Simulating: |=== |(11/12) Simulating: |==== |(11/12) Simulating: |===== |(11/12) Simulating: |====== |(11/12) Simulating: |======= |(11/12) Simulating: |======== |(11/12) Simulating: |========= |(11/12) Simulating: |========== |(11/12) Simulating: |=========== |(11/12) Simulating: |============ |(11/12) Simulating: |============= |(11/12) Simulating: |============== |(11/12) Simulating: |=============== |(11/12) Simulating: |================ |(11/12) Simulating: |================= |(11/12) Simulating: |================== |(11/12) Simulating: |=================== |(11/12) Simulating: |==================== |(11/12) Simulating: |===================== |(11/12) Simulating: |====================== |(11/12) Simulating: |======================= |(11/12) Simulating: |======================== |(11/12) Simulating: |========================= |(11/12) Simulating: |========================== |(11/12) Simulating: |=========================== |(11/12) Simulating: |============================ |(11/12) Simulating: |============================= |(11/12) Simulating: |============================== |(11/12) Simulating: |=============================== |(11/12) Simulating: |================================ |(11/12) Simulating: |================================= |(11/12) Simulating: |================================== |(11/12) Simulating: |=================================== |(11/12) Simulating: |==================================== |(11/12) Simulating: |===================================== |(11/12) Simulating: |====================================== |(11/12) Simulating: |======================================= |(11/12) Simulating: |======================================== |(11/12) Simulating: |========================================= |(11/12) Simulating: |========================================== |(11/12) Simulating: |=========================================== |(11/12) Simulating: |============================================ |(11/12) Simulating: |============================================= |(11/12) Simulating: |============================================== |(11/12) Simulating: |=============================================== |(11/12) Simulating: |================================================ |(11/12) Simulating: |================================================= |(11/12) Simulating: |================================================== |(11/12) Simulating: |=================================================== |(11/12) Simulating: |==================================================== |(11/12) Simulating: |===================================================== |(11/12) Simulating: |====================================================== |(11/12) Simulating: |======================================================= |(11/12) Simulating: |======================================================== |(11/12) Simulating: |========================================================= |(11/12) Simulating: |==========================================================|(11/12) (12/12) (12/12) Simulating: | |(12/12) Simulating: |= |(12/12) Simulating: |== |(12/12) Simulating: |=== |(12/12) Simulating: |==== |(12/12) Simulating: |===== |(12/12) Simulating: |====== |(12/12) Simulating: |======= |(12/12) Simulating: |======== |(12/12) Simulating: |========= |(12/12) Simulating: |========== |(12/12) Simulating: |=========== |(12/12) Simulating: |============ |(12/12) Simulating: |============= |(12/12) Simulating: |============== |(12/12) Simulating: |=============== |(12/12) Simulating: |================ |(12/12) Simulating: |================= |(12/12) Simulating: |================== |(12/12) Simulating: |=================== |(12/12) Simulating: |==================== |(12/12) Simulating: |===================== |(12/12) Simulating: |====================== |(12/12) Simulating: |======================= |(12/12) Simulating: |======================== |(12/12) Simulating: |========================= |(12/12) Simulating: |========================== |(12/12) Simulating: |=========================== |(12/12) Simulating: |============================ |(12/12) Simulating: |============================= |(12/12) Simulating: |============================== |(12/12) Simulating: |=============================== |(12/12) Simulating: |================================ |(12/12) Simulating: |================================= |(12/12) Simulating: |================================== |(12/12) Simulating: |=================================== |(12/12) Simulating: |==================================== |(12/12) Simulating: |===================================== |(12/12) Simulating: |====================================== |(12/12) Simulating: |======================================= |(12/12) Simulating: |======================================== |(12/12) Simulating: |========================================= |(12/12) Simulating: |========================================== |(12/12) Simulating: |=========================================== |(12/12) Simulating: |============================================ |(12/12) Simulating: |============================================= |(12/12) Simulating: |============================================== |(12/12) Simulating: |=============================================== |(12/12) Simulating: |================================================ |(12/12) Simulating: |================================================= |(12/12) Simulating: |================================================== |(12/12) Simulating: |=================================================== |(12/12) Simulating: |==================================================== |(12/12) Simulating: |===================================================== |(12/12) Simulating: |====================================================== |(12/12) Simulating: |======================================================= |(12/12) Simulating: |======================================================== |(12/12) Simulating: |========================================================= |(12/12) Simulating: |==========================================================|(12/12) curve_fine_grained <- powerCurve(model_sim,
fixed("RDM_typefinegrained_mind_action_physiology_model", "t"),
along = "subject_id",
breaks = c(10, 20, 30, 40, 50, 60, 70, 80, 90, 100),
nsim = 100)## Simulating: | |Simulating: |= |Simulating: |== |Simulating: |=== |Simulating: |==== |Simulating: |===== |Simulating: |====== |Simulating: |======= |Simulating: |======== |Simulating: |========= |Simulating: |========== |Simulating: |=========== |Simulating: |============ |Simulating: |============= |Simulating: |============== |Simulating: |=============== |Simulating: |================ |Simulating: |================= |Simulating: |================== |Simulating: |=================== |Simulating: |==================== |Simulating: |===================== |Simulating: |====================== |Simulating: |======================= |Simulating: |======================== |Simulating: |========================= |Simulating: |========================== |Simulating: |=========================== |Simulating: |============================ |Simulating: |============================= |Simulating: |============================== |Simulating: |=============================== |Simulating: |================================ |Simulating: |================================= |Simulating: |================================== |Simulating: |=================================== |Simulating: |==================================== |Simulating: |===================================== |Simulating: |====================================== |Simulating: |======================================= |Simulating: |======================================== |Simulating: |========================================= |Simulating: |========================================== |Simulating: |=========================================== |Simulating: |============================================ |Simulating: |============================================= |Simulating: |============================================== |Simulating: |=============================================== |Simulating: |================================================ |Simulating: |================================================= |Simulating: |================================================== |Simulating: |=================================================== |Simulating: |==================================================== |Simulating: |===================================================== |Simulating: |====================================================== |Simulating: |======================================================= |Simulating: |======================================================== |Simulating: |========================================================= |Simulating: |========================================================== |Simulating: |=========================================================== |Simulating: |============================================================ |Simulating: |============================================================= |Simulating: |============================================================== |Simulating: |=============================================================== |Simulating: |================================================================ |Simulating: |================================================================= |Simulating: |==================================================================|( 1/10) ( 1/10) Simulating: | |( 1/10) Simulating: |= |( 1/10) Simulating: |== |( 1/10) Simulating: |=== |( 1/10) Simulating: |==== |( 1/10) Simulating: |===== |( 1/10) Simulating: |====== |( 1/10) Simulating: |======= |( 1/10) Simulating: |======== |( 1/10) Simulating: |========= |( 1/10) Simulating: |========== |( 1/10) Simulating: |=========== |( 1/10) Simulating: |============ |( 1/10) Simulating: |============= |( 1/10) Simulating: |============== |( 1/10) Simulating: |=============== |( 1/10) Simulating: |================ |( 1/10) Simulating: |================= |( 1/10) Simulating: |================== |( 1/10) Simulating: |=================== |( 1/10) Simulating: |==================== |( 1/10) Simulating: |===================== |( 1/10) Simulating: |====================== |( 1/10) Simulating: |======================= |( 1/10) Simulating: |======================== |( 1/10) Simulating: |========================= |( 1/10) Simulating: |========================== |( 1/10) Simulating: |=========================== |( 1/10) Simulating: |============================ |( 1/10) Simulating: |============================= |( 1/10) Simulating: |============================== |( 1/10) Simulating: |=============================== |( 1/10) Simulating: |================================ |( 1/10) Simulating: |================================= |( 1/10) Simulating: |================================== |( 1/10) Simulating: |=================================== |( 1/10) Simulating: |==================================== |( 1/10) Simulating: |===================================== |( 1/10) Simulating: |====================================== |( 1/10) Simulating: |======================================= |( 1/10) Simulating: |======================================== |( 1/10) Simulating: |========================================= |( 1/10) Simulating: |========================================== |( 1/10) Simulating: |=========================================== |( 1/10) Simulating: |============================================ |( 1/10) Simulating: |============================================= |( 1/10) Simulating: |============================================== |( 1/10) Simulating: |=============================================== |( 1/10) Simulating: |================================================ |( 1/10) Simulating: |================================================= |( 1/10) Simulating: |================================================== |( 1/10) Simulating: |=================================================== |( 1/10) Simulating: |==================================================== |( 1/10) Simulating: |===================================================== |( 1/10) Simulating: |====================================================== |( 1/10) Simulating: |======================================================= |( 1/10) Simulating: |======================================================== |( 1/10) Simulating: |========================================================= |( 1/10) Simulating: |==========================================================|( 1/10) ( 2/10) ( 2/10) Simulating: | |( 2/10) Simulating: |= |( 2/10) Simulating: |== |( 2/10) Simulating: |=== |( 2/10) Simulating: |==== |( 2/10) Simulating: |===== |( 2/10) Simulating: |====== |( 2/10) Simulating: |======= |( 2/10) Simulating: |======== |( 2/10) Simulating: |========= |( 2/10) Simulating: |========== |( 2/10) Simulating: |=========== |( 2/10) Simulating: |============ |( 2/10) Simulating: |============= |( 2/10) Simulating: |============== |( 2/10) Simulating: |=============== |( 2/10) Simulating: |================ |( 2/10) Simulating: |================= |( 2/10) Simulating: |================== |( 2/10) Simulating: |=================== |( 2/10) Simulating: |==================== |( 2/10) Simulating: |===================== |( 2/10) Simulating: |====================== |( 2/10) Simulating: |======================= |( 2/10) Simulating: |======================== |( 2/10) Simulating: |========================= |( 2/10) Simulating: |========================== |( 2/10) Simulating: |=========================== |( 2/10) Simulating: |============================ |( 2/10) Simulating: |============================= |( 2/10) Simulating: |============================== |( 2/10) Simulating: |=============================== |( 2/10) Simulating: |================================ |( 2/10) Simulating: |================================= |( 2/10) Simulating: |================================== |( 2/10) Simulating: |=================================== |( 2/10) Simulating: |==================================== |( 2/10) Simulating: |===================================== |( 2/10) Simulating: |====================================== |( 2/10) Simulating: |======================================= |( 2/10) Simulating: |======================================== |( 2/10) Simulating: |========================================= |( 2/10) Simulating: |========================================== |( 2/10) Simulating: |=========================================== |( 2/10) Simulating: |============================================ |( 2/10) Simulating: |============================================= |( 2/10) Simulating: |============================================== |( 2/10) Simulating: |=============================================== |( 2/10) Simulating: |================================================ |( 2/10) Simulating: |================================================= |( 2/10) Simulating: |================================================== |( 2/10) Simulating: |=================================================== |( 2/10) Simulating: |==================================================== |( 2/10) Simulating: |===================================================== |( 2/10) Simulating: |====================================================== |( 2/10) Simulating: |======================================================= |( 2/10) Simulating: |======================================================== |( 2/10) Simulating: |========================================================= |( 2/10) Simulating: |==========================================================|( 2/10) ( 3/10) ( 3/10) Simulating: | |( 3/10) Simulating: |= |( 3/10) Simulating: |== |( 3/10) Simulating: |=== |( 3/10) Simulating: |==== |( 3/10) Simulating: |===== |( 3/10) Simulating: |====== |( 3/10) Simulating: |======= |( 3/10) Simulating: |======== |( 3/10) Simulating: |========= |( 3/10) Simulating: |========== |( 3/10) Simulating: |=========== |( 3/10) Simulating: |============ |( 3/10) Simulating: |============= |( 3/10) Simulating: |============== |( 3/10) Simulating: |=============== |( 3/10) Simulating: |================ |( 3/10) Simulating: |================= |( 3/10) Simulating: |================== |( 3/10) Simulating: |=================== |( 3/10) Simulating: |==================== |( 3/10) Simulating: |===================== |( 3/10) Simulating: |====================== |( 3/10) Simulating: |======================= |( 3/10) Simulating: |======================== |( 3/10) Simulating: |========================= |( 3/10) Simulating: |========================== |( 3/10) Simulating: |=========================== |( 3/10) Simulating: |============================ |( 3/10) Simulating: |============================= |( 3/10) Simulating: |============================== |( 3/10) Simulating: |=============================== |( 3/10) Simulating: |================================ |( 3/10) Simulating: |================================= |( 3/10) Simulating: |================================== |( 3/10) Simulating: |=================================== |( 3/10) Simulating: |==================================== |( 3/10) Simulating: |===================================== |( 3/10) Simulating: |====================================== |( 3/10) Simulating: |======================================= |( 3/10) Simulating: |======================================== |( 3/10) Simulating: |========================================= |( 3/10) Simulating: |========================================== |( 3/10) Simulating: |=========================================== |( 3/10) Simulating: |============================================ |( 3/10) Simulating: |============================================= |( 3/10) Simulating: |============================================== |( 3/10) Simulating: |=============================================== |( 3/10) Simulating: |================================================ |( 3/10) Simulating: |================================================= |( 3/10) Simulating: |================================================== |( 3/10) Simulating: |=================================================== |( 3/10) Simulating: |==================================================== |( 3/10) Simulating: |===================================================== |( 3/10) Simulating: |====================================================== |( 3/10) Simulating: |======================================================= |( 3/10) Simulating: |======================================================== |( 3/10) Simulating: |========================================================= |( 3/10) Simulating: |==========================================================|( 3/10) ( 4/10) ( 4/10) Simulating: | |( 4/10) Simulating: |= |( 4/10) Simulating: |== |( 4/10) Simulating: |=== |( 4/10) Simulating: |==== |( 4/10) Simulating: |===== |( 4/10) Simulating: |====== |( 4/10) Simulating: |======= |( 4/10) Simulating: |======== |( 4/10) Simulating: |========= |( 4/10) Simulating: |========== |( 4/10) Simulating: |=========== |( 4/10) Simulating: |============ |( 4/10) Simulating: |============= |( 4/10) Simulating: |============== |( 4/10) Simulating: |=============== |( 4/10) Simulating: |================ |( 4/10) Simulating: |================= |( 4/10) Simulating: |================== |( 4/10) Simulating: |=================== |( 4/10) Simulating: |==================== |( 4/10) Simulating: |===================== |( 4/10) Simulating: |====================== |( 4/10) Simulating: |======================= |( 4/10) Simulating: |======================== |( 4/10) Simulating: |========================= |( 4/10) Simulating: |========================== |( 4/10) Simulating: |=========================== |( 4/10) Simulating: |============================ |( 4/10) Simulating: |============================= |( 4/10) Simulating: |============================== |( 4/10) Simulating: |=============================== |( 4/10) Simulating: |================================ |( 4/10) Simulating: |================================= |( 4/10) Simulating: |================================== |( 4/10) Simulating: |=================================== |( 4/10) Simulating: |==================================== |( 4/10) Simulating: |===================================== |( 4/10) Simulating: |====================================== |( 4/10) Simulating: |======================================= |( 4/10) Simulating: |======================================== |( 4/10) Simulating: |========================================= |( 4/10) Simulating: |========================================== |( 4/10) Simulating: |=========================================== |( 4/10) Simulating: |============================================ |( 4/10) Simulating: |============================================= |( 4/10) Simulating: |============================================== |( 4/10) Simulating: |=============================================== |( 4/10) Simulating: |================================================ |( 4/10) Simulating: |================================================= |( 4/10) Simulating: |================================================== |( 4/10) Simulating: |=================================================== |( 4/10) Simulating: |==================================================== |( 4/10) Simulating: |===================================================== |( 4/10) Simulating: |====================================================== |( 4/10) Simulating: |======================================================= |( 4/10) Simulating: |======================================================== |( 4/10) Simulating: |========================================================= |( 4/10) Simulating: |==========================================================|( 4/10) ( 5/10) ( 5/10) Simulating: | |( 5/10) Simulating: |= |( 5/10) Simulating: |== |( 5/10) Simulating: |=== |( 5/10) Simulating: |==== |( 5/10) Simulating: |===== |( 5/10) Simulating: |====== |( 5/10) Simulating: |======= |( 5/10) Simulating: |======== |( 5/10) Simulating: |========= |( 5/10) Simulating: |========== |( 5/10) Simulating: |=========== |( 5/10) Simulating: |============ |( 5/10) Simulating: |============= |( 5/10) Simulating: |============== |( 5/10) Simulating: |=============== |( 5/10) Simulating: |================ |( 5/10) Simulating: |================= |( 5/10) Simulating: |================== |( 5/10) Simulating: |=================== |( 5/10) Simulating: |==================== |( 5/10) Simulating: |===================== |( 5/10) Simulating: |====================== |( 5/10) Simulating: |======================= |( 5/10) Simulating: |======================== |( 5/10) Simulating: |========================= |( 5/10) Simulating: |========================== |( 5/10) Simulating: |=========================== |( 5/10) Simulating: |============================ |( 5/10) Simulating: |============================= |( 5/10) Simulating: |============================== |( 5/10) Simulating: |=============================== |( 5/10) Simulating: |================================ |( 5/10) Simulating: |================================= |( 5/10) Simulating: |================================== |( 5/10) Simulating: |=================================== |( 5/10) Simulating: |==================================== |( 5/10) Simulating: |===================================== |( 5/10) Simulating: |====================================== |( 5/10) Simulating: |======================================= |( 5/10) Simulating: |======================================== |( 5/10) Simulating: |========================================= |( 5/10) Simulating: |========================================== |( 5/10) Simulating: |=========================================== |( 5/10) Simulating: |============================================ |( 5/10) Simulating: |============================================= |( 5/10) Simulating: |============================================== |( 5/10) Simulating: |=============================================== |( 5/10) Simulating: |================================================ |( 5/10) Simulating: |================================================= |( 5/10) Simulating: |================================================== |( 5/10) Simulating: |=================================================== |( 5/10) Simulating: |==================================================== |( 5/10) Simulating: |===================================================== |( 5/10) Simulating: |====================================================== |( 5/10) Simulating: |======================================================= |( 5/10) Simulating: |======================================================== |( 5/10) Simulating: |========================================================= |( 5/10) Simulating: |==========================================================|( 5/10) ( 6/10) ( 6/10) Simulating: | |( 6/10) Simulating: |= |( 6/10) Simulating: |== |( 6/10) Simulating: |=== |( 6/10) Simulating: |==== |( 6/10) Simulating: |===== |( 6/10) Simulating: |====== |( 6/10) Simulating: |======= |( 6/10) Simulating: |======== |( 6/10) Simulating: |========= |( 6/10) Simulating: |========== |( 6/10) Simulating: |=========== |( 6/10) Simulating: |============ |( 6/10) Simulating: |============= |( 6/10) Simulating: |============== |( 6/10) Simulating: |=============== |( 6/10) Simulating: |================ |( 6/10) Simulating: |================= |( 6/10) Simulating: |================== |( 6/10) Simulating: |=================== |( 6/10) Simulating: |==================== |( 6/10) Simulating: |===================== |( 6/10) Simulating: |====================== |( 6/10) Simulating: |======================= |( 6/10) Simulating: |======================== |( 6/10) Simulating: |========================= |( 6/10) Simulating: |========================== |( 6/10) Simulating: |=========================== |( 6/10) Simulating: |============================ |( 6/10) Simulating: |============================= |( 6/10) Simulating: |============================== |( 6/10) Simulating: |=============================== |( 6/10) Simulating: |================================ |( 6/10) Simulating: |================================= |( 6/10) Simulating: |================================== |( 6/10) Simulating: |=================================== |( 6/10) Simulating: |==================================== |( 6/10) Simulating: |===================================== |( 6/10) Simulating: |====================================== |( 6/10) Simulating: |======================================= |( 6/10) Simulating: |======================================== |( 6/10) Simulating: |========================================= |( 6/10) Simulating: |========================================== |( 6/10) Simulating: |=========================================== |( 6/10) Simulating: |============================================ |( 6/10) Simulating: |============================================= |( 6/10) Simulating: |============================================== |( 6/10) Simulating: |=============================================== |( 6/10) Simulating: |================================================ |( 6/10) Simulating: |================================================= |( 6/10) Simulating: |================================================== |( 6/10) Simulating: |=================================================== |( 6/10) Simulating: |==================================================== |( 6/10) Simulating: |===================================================== |( 6/10) Simulating: |====================================================== |( 6/10) Simulating: |======================================================= |( 6/10) Simulating: |======================================================== |( 6/10) Simulating: |========================================================= |( 6/10) Simulating: |==========================================================|( 6/10) ( 7/10) ( 7/10) Simulating: | |( 7/10) Simulating: |= |( 7/10) Simulating: |== |( 7/10) Simulating: |=== |( 7/10) Simulating: |==== |( 7/10) Simulating: |===== |( 7/10) Simulating: |====== |( 7/10) Simulating: |======= |( 7/10) Simulating: |======== |( 7/10) Simulating: |========= |( 7/10) Simulating: |========== |( 7/10) Simulating: |=========== |( 7/10) Simulating: |============ |( 7/10) Simulating: |============= |( 7/10) Simulating: |============== |( 7/10) Simulating: |=============== |( 7/10) Simulating: |================ |( 7/10) Simulating: |================= |( 7/10) Simulating: |================== |( 7/10) Simulating: |=================== |( 7/10) Simulating: |==================== |( 7/10) Simulating: |===================== |( 7/10) Simulating: |====================== |( 7/10) Simulating: |======================= |( 7/10) Simulating: |======================== |( 7/10) Simulating: |========================= |( 7/10) Simulating: |========================== |( 7/10) Simulating: |=========================== |( 7/10) Simulating: |============================ |( 7/10) Simulating: |============================= |( 7/10) Simulating: |============================== |( 7/10) Simulating: |=============================== |( 7/10) Simulating: |================================ |( 7/10) Simulating: |================================= |( 7/10) Simulating: |================================== |( 7/10) Simulating: |=================================== |( 7/10) Simulating: |==================================== |( 7/10) Simulating: |===================================== |( 7/10) Simulating: |====================================== |( 7/10) Simulating: |======================================= |( 7/10) Simulating: |======================================== |( 7/10) Simulating: |========================================= |( 7/10) Simulating: |========================================== |( 7/10) Simulating: |=========================================== |( 7/10) Simulating: |============================================ |( 7/10) Simulating: |============================================= |( 7/10) Simulating: |============================================== |( 7/10) Simulating: |=============================================== |( 7/10) Simulating: |================================================ |( 7/10) Simulating: |================================================= |( 7/10) Simulating: |================================================== |( 7/10) Simulating: |=================================================== |( 7/10) Simulating: |==================================================== |( 7/10) Simulating: |===================================================== |( 7/10) Simulating: |====================================================== |( 7/10) Simulating: |======================================================= |( 7/10) Simulating: |======================================================== |( 7/10) Simulating: |========================================================= |( 7/10) Simulating: |==========================================================|( 7/10) ( 8/10) ( 8/10) Simulating: | |( 8/10) Simulating: |= |( 8/10) Simulating: |== |( 8/10) Simulating: |=== |( 8/10) Simulating: |==== |( 8/10) Simulating: |===== |( 8/10) Simulating: |====== |( 8/10) Simulating: |======= |( 8/10) Simulating: |======== |( 8/10) Simulating: |========= |( 8/10) Simulating: |========== |( 8/10) Simulating: |=========== |( 8/10) Simulating: |============ |( 8/10) Simulating: |============= |( 8/10) Simulating: |============== |( 8/10) Simulating: |=============== |( 8/10) Simulating: |================ |( 8/10) Simulating: |================= |( 8/10) Simulating: |================== |( 8/10) Simulating: |=================== |( 8/10) Simulating: |==================== |( 8/10) Simulating: |===================== |( 8/10) Simulating: |====================== |( 8/10) Simulating: |======================= |( 8/10) Simulating: |======================== |( 8/10) Simulating: |========================= |( 8/10) Simulating: |========================== |( 8/10) Simulating: |=========================== |( 8/10) Simulating: |============================ |( 8/10) Simulating: |============================= |( 8/10) Simulating: |============================== |( 8/10) Simulating: |=============================== |( 8/10) Simulating: |================================ |( 8/10) Simulating: |================================= |( 8/10) Simulating: |================================== |( 8/10) Simulating: |=================================== |( 8/10) Simulating: |==================================== |( 8/10) Simulating: |===================================== |( 8/10) Simulating: |====================================== |( 8/10) Simulating: |======================================= |( 8/10) Simulating: |======================================== |( 8/10) Simulating: |========================================= |( 8/10) Simulating: |========================================== |( 8/10) Simulating: |=========================================== |( 8/10) Simulating: |============================================ |( 8/10) Simulating: |============================================= |( 8/10) Simulating: |============================================== |( 8/10) Simulating: |=============================================== |( 8/10) Simulating: |================================================ |( 8/10) Simulating: |================================================= |( 8/10) Simulating: |================================================== |( 8/10) Simulating: |=================================================== |( 8/10) Simulating: |==================================================== |( 8/10) Simulating: |===================================================== |( 8/10) Simulating: |====================================================== |( 8/10) Simulating: |======================================================= |( 8/10) Simulating: |======================================================== |( 8/10) Simulating: |========================================================= |( 8/10) Simulating: |==========================================================|( 8/10) ( 9/10) ( 9/10) Simulating: | |( 9/10) Simulating: |= |( 9/10) Simulating: |== |( 9/10) Simulating: |=== |( 9/10) Simulating: |==== |( 9/10) Simulating: |===== |( 9/10) Simulating: |====== |( 9/10) Simulating: |======= |( 9/10) Simulating: |======== |( 9/10) Simulating: |========= |( 9/10) Simulating: |========== |( 9/10) Simulating: |=========== |( 9/10) Simulating: |============ |( 9/10) Simulating: |============= |( 9/10) Simulating: |============== |( 9/10) Simulating: |=============== |( 9/10) Simulating: |================ |( 9/10) Simulating: |================= |( 9/10) Simulating: |================== |( 9/10) Simulating: |=================== |( 9/10) Simulating: |==================== |( 9/10) Simulating: |===================== |( 9/10) Simulating: |====================== |( 9/10) Simulating: |======================= |( 9/10) Simulating: |======================== |( 9/10) Simulating: |========================= |( 9/10) Simulating: |========================== |( 9/10) Simulating: |=========================== |( 9/10) Simulating: |============================ |( 9/10) Simulating: |============================= |( 9/10) Simulating: |============================== |( 9/10) Simulating: |=============================== |( 9/10) Simulating: |================================ |( 9/10) Simulating: |================================= |( 9/10) Simulating: |================================== |( 9/10) Simulating: |=================================== |( 9/10) Simulating: |==================================== |( 9/10) Simulating: |===================================== |( 9/10) Simulating: |====================================== |( 9/10) Simulating: |======================================= |( 9/10) Simulating: |======================================== |( 9/10) Simulating: |========================================= |( 9/10) Simulating: |========================================== |( 9/10) Simulating: |=========================================== |( 9/10) Simulating: |============================================ |( 9/10) Simulating: |============================================= |( 9/10) Simulating: |============================================== |( 9/10) Simulating: |=============================================== |( 9/10) Simulating: |================================================ |( 9/10) Simulating: |================================================= |( 9/10) Simulating: |================================================== |( 9/10) Simulating: |=================================================== |( 9/10) Simulating: |==================================================== |( 9/10) Simulating: |===================================================== |( 9/10) Simulating: |====================================================== |( 9/10) Simulating: |======================================================= |( 9/10) Simulating: |======================================================== |( 9/10) Simulating: |========================================================= |( 9/10) Simulating: |==========================================================|( 9/10) (10/10) (10/10) Simulating: | |(10/10) Simulating: |= |(10/10) Simulating: |== |(10/10) Simulating: |=== |(10/10) Simulating: |==== |(10/10) Simulating: |===== |(10/10) Simulating: |====== |(10/10) Simulating: |======= |(10/10) Simulating: |======== |(10/10) Simulating: |========= |(10/10) Simulating: |========== |(10/10) Simulating: |=========== |(10/10) Simulating: |============ |(10/10) Simulating: |============= |(10/10) Simulating: |============== |(10/10) Simulating: |=============== |(10/10) Simulating: |================ |(10/10) Simulating: |================= |(10/10) Simulating: |================== |(10/10) Simulating: |=================== |(10/10) Simulating: |==================== |(10/10) Simulating: |===================== |(10/10) Simulating: |====================== |(10/10) Simulating: |======================= |(10/10) Simulating: |======================== |(10/10) Simulating: |========================= |(10/10) Simulating: |========================== |(10/10) Simulating: |=========================== |(10/10) Simulating: |============================ |(10/10) Simulating: |============================= |(10/10) Simulating: |============================== |(10/10) Simulating: |=============================== |(10/10) Simulating: |================================ |(10/10) Simulating: |================================= |(10/10) Simulating: |================================== |(10/10) Simulating: |=================================== |(10/10) Simulating: |==================================== |(10/10) Simulating: |===================================== |(10/10) Simulating: |====================================== |(10/10) Simulating: |======================================= |(10/10) Simulating: |======================================== |(10/10) Simulating: |========================================= |(10/10) Simulating: |========================================== |(10/10) Simulating: |=========================================== |(10/10) Simulating: |============================================ |(10/10) Simulating: |============================================= |(10/10) Simulating: |============================================== |(10/10) Simulating: |=============================================== |(10/10) Simulating: |================================================ |(10/10) Simulating: |================================================= |(10/10) Simulating: |================================================== |(10/10) Simulating: |=================================================== |(10/10) Simulating: |==================================================== |(10/10) Simulating: |===================================================== |(10/10) Simulating: |====================================================== |(10/10) Simulating: |======================================================= |(10/10) Simulating: |======================================================== |(10/10) Simulating: |========================================================= |(10/10) Simulating: |==========================================================|(10/10) curve_dualism <- powerCurve(model_sim,
fixed("RDM_typephysical_psychological_model", "t"),
along = "subject_id",
breaks = c(10, 20, 30, 40, 50, 60, 70, 80, 90, 100),
nsim = 100)## Simulating: | |Simulating: |= |Simulating: |== |Simulating: |=== |Simulating: |==== |Simulating: |===== |Simulating: |====== |Simulating: |======= |Simulating: |======== |Simulating: |========= |Simulating: |========== |Simulating: |=========== |Simulating: |============ |Simulating: |============= |Simulating: |============== |Simulating: |=============== |Simulating: |================ |Simulating: |================= |Simulating: |================== |Simulating: |=================== |Simulating: |==================== |Simulating: |===================== |Simulating: |====================== |Simulating: |======================= |Simulating: |======================== |Simulating: |========================= |Simulating: |========================== |Simulating: |=========================== |Simulating: |============================ |Simulating: |============================= |Simulating: |============================== |Simulating: |=============================== |Simulating: |================================ |Simulating: |================================= |Simulating: |================================== |Simulating: |=================================== |Simulating: |==================================== |Simulating: |===================================== |Simulating: |====================================== |Simulating: |======================================= |Simulating: |======================================== |Simulating: |========================================= |Simulating: |========================================== |Simulating: |=========================================== |Simulating: |============================================ |Simulating: |============================================= |Simulating: |============================================== |Simulating: |=============================================== |Simulating: |================================================ |Simulating: |================================================= |Simulating: |================================================== |Simulating: |=================================================== |Simulating: |==================================================== |Simulating: |===================================================== |Simulating: |====================================================== |Simulating: |======================================================= |Simulating: |======================================================== |Simulating: |========================================================= |Simulating: |========================================================== |Simulating: |=========================================================== |Simulating: |============================================================ |Simulating: |============================================================= |Simulating: |============================================================== |Simulating: |=============================================================== |Simulating: |================================================================ |Simulating: |================================================================= |Simulating: |==================================================================|( 1/10) ( 1/10) Simulating: | |( 1/10) Simulating: |= |( 1/10) Simulating: |== |( 1/10) Simulating: |=== |( 1/10) Simulating: |==== |( 1/10) Simulating: |===== |( 1/10) Simulating: |====== |( 1/10) Simulating: |======= |( 1/10) Simulating: |======== |( 1/10) Simulating: |========= |( 1/10) Simulating: |========== |( 1/10) Simulating: |=========== |( 1/10) Simulating: |============ |( 1/10) Simulating: |============= |( 1/10) Simulating: |============== |( 1/10) Simulating: |=============== |( 1/10) Simulating: |================ |( 1/10) Simulating: |================= |( 1/10) Simulating: |================== |( 1/10) Simulating: |=================== |( 1/10) Simulating: |==================== |( 1/10) Simulating: |===================== |( 1/10) Simulating: |====================== |( 1/10) Simulating: |======================= |( 1/10) Simulating: |======================== |( 1/10) Simulating: |========================= |( 1/10) Simulating: |========================== |( 1/10) Simulating: |=========================== |( 1/10) Simulating: |============================ |( 1/10) Simulating: |============================= |( 1/10) Simulating: |============================== |( 1/10) Simulating: |=============================== |( 1/10) Simulating: |================================ |( 1/10) Simulating: |================================= |( 1/10) Simulating: |================================== |( 1/10) Simulating: |=================================== |( 1/10) Simulating: |==================================== |( 1/10) Simulating: |===================================== |( 1/10) Simulating: |====================================== |( 1/10) Simulating: |======================================= |( 1/10) Simulating: |======================================== |( 1/10) Simulating: |========================================= |( 1/10) Simulating: |========================================== |( 1/10) Simulating: |=========================================== |( 1/10) Simulating: |============================================ |( 1/10) Simulating: |============================================= |( 1/10) Simulating: |============================================== |( 1/10) Simulating: |=============================================== |( 1/10) Simulating: |================================================ |( 1/10) Simulating: |================================================= |( 1/10) Simulating: |================================================== |( 1/10) Simulating: |=================================================== |( 1/10) Simulating: |==================================================== |( 1/10) Simulating: |===================================================== |( 1/10) Simulating: |====================================================== |( 1/10) Simulating: |======================================================= |( 1/10) Simulating: |======================================================== |( 1/10) Simulating: |========================================================= |( 1/10) Simulating: |==========================================================|( 1/10) ( 2/10) ( 2/10) Simulating: | |( 2/10) Simulating: |= |( 2/10) Simulating: |== |( 2/10) Simulating: |=== |( 2/10) Simulating: |==== |( 2/10) Simulating: |===== |( 2/10) Simulating: |====== |( 2/10) Simulating: |======= |( 2/10) Simulating: |======== |( 2/10) Simulating: |========= |( 2/10) Simulating: |========== |( 2/10) Simulating: |=========== |( 2/10) Simulating: |============ |( 2/10) Simulating: |============= |( 2/10) Simulating: |============== |( 2/10) Simulating: |=============== |( 2/10) Simulating: |================ |( 2/10) Simulating: |================= |( 2/10) Simulating: |================== |( 2/10) Simulating: |=================== |( 2/10) Simulating: |==================== |( 2/10) Simulating: |===================== |( 2/10) Simulating: |====================== |( 2/10) Simulating: |======================= |( 2/10) Simulating: |======================== |( 2/10) Simulating: |========================= |( 2/10) Simulating: |========================== |( 2/10) Simulating: |=========================== |( 2/10) Simulating: |============================ |( 2/10) Simulating: |============================= |( 2/10) Simulating: |============================== |( 2/10) Simulating: |=============================== |( 2/10) Simulating: |================================ |( 2/10) Simulating: |================================= |( 2/10) Simulating: |================================== |( 2/10) Simulating: |=================================== |( 2/10) Simulating: |==================================== |( 2/10) Simulating: |===================================== |( 2/10) Simulating: |====================================== |( 2/10) Simulating: |======================================= |( 2/10) Simulating: |======================================== |( 2/10) Simulating: |========================================= |( 2/10) Simulating: |========================================== |( 2/10) Simulating: |=========================================== |( 2/10) Simulating: |============================================ |( 2/10) Simulating: |============================================= |( 2/10) Simulating: |============================================== |( 2/10) Simulating: |=============================================== |( 2/10) Simulating: |================================================ |( 2/10) Simulating: |================================================= |( 2/10) Simulating: |================================================== |( 2/10) Simulating: |=================================================== |( 2/10) Simulating: |==================================================== |( 2/10) Simulating: |===================================================== |( 2/10) Simulating: |====================================================== |( 2/10) Simulating: |======================================================= |( 2/10) Simulating: |======================================================== |( 2/10) Simulating: |========================================================= |( 2/10) Simulating: |==========================================================|( 2/10) ( 3/10) ( 3/10) Simulating: | |( 3/10) Simulating: |= |( 3/10) Simulating: |== |( 3/10) Simulating: |=== |( 3/10) Simulating: |==== |( 3/10) Simulating: |===== |( 3/10) Simulating: |====== |( 3/10) Simulating: |======= |( 3/10) Simulating: |======== |( 3/10) Simulating: |========= |( 3/10) Simulating: |========== |( 3/10) Simulating: |=========== |( 3/10) Simulating: |============ |( 3/10) Simulating: |============= |( 3/10) Simulating: |============== |( 3/10) Simulating: |=============== |( 3/10) Simulating: |================ |( 3/10) Simulating: |================= |( 3/10) Simulating: |================== |( 3/10) Simulating: |=================== |( 3/10) Simulating: |==================== |( 3/10) Simulating: |===================== |( 3/10) Simulating: |====================== |( 3/10) Simulating: |======================= |( 3/10) Simulating: |======================== |( 3/10) Simulating: |========================= |( 3/10) Simulating: |========================== |( 3/10) Simulating: |=========================== |( 3/10) Simulating: |============================ |( 3/10) Simulating: |============================= |( 3/10) Simulating: |============================== |( 3/10) Simulating: |=============================== |( 3/10) Simulating: |================================ |( 3/10) Simulating: |================================= |( 3/10) Simulating: |================================== |( 3/10) Simulating: |=================================== |( 3/10) Simulating: |==================================== |( 3/10) Simulating: |===================================== |( 3/10) Simulating: |====================================== |( 3/10) Simulating: |======================================= |( 3/10) Simulating: |======================================== |( 3/10) Simulating: |========================================= |( 3/10) Simulating: |========================================== |( 3/10) Simulating: |=========================================== |( 3/10) Simulating: |============================================ |( 3/10) Simulating: |============================================= |( 3/10) Simulating: |============================================== |( 3/10) Simulating: |=============================================== |( 3/10) Simulating: |================================================ |( 3/10) Simulating: |================================================= |( 3/10) Simulating: |================================================== |( 3/10) Simulating: |=================================================== |( 3/10) Simulating: |==================================================== |( 3/10) Simulating: |===================================================== |( 3/10) Simulating: |====================================================== |( 3/10) Simulating: |======================================================= |( 3/10) Simulating: |======================================================== |( 3/10) Simulating: |========================================================= |( 3/10) Simulating: |==========================================================|( 3/10) ( 4/10) ( 4/10) Simulating: | |( 4/10) Simulating: |= |( 4/10) Simulating: |== |( 4/10) Simulating: |=== |( 4/10) Simulating: |==== |( 4/10) Simulating: |===== |( 4/10) Simulating: |====== |( 4/10) Simulating: |======= |( 4/10) Simulating: |======== |( 4/10) Simulating: |========= |( 4/10) Simulating: |========== |( 4/10) Simulating: |=========== |( 4/10) Simulating: |============ |( 4/10) Simulating: |============= |( 4/10) Simulating: |============== |( 4/10) Simulating: |=============== |( 4/10) Simulating: |================ |( 4/10) Simulating: |================= |( 4/10) Simulating: |================== |( 4/10) Simulating: |=================== |( 4/10) Simulating: |==================== |( 4/10) Simulating: |===================== |( 4/10) Simulating: |====================== |( 4/10) Simulating: |======================= |( 4/10) Simulating: |======================== |( 4/10) Simulating: |========================= |( 4/10) Simulating: |========================== |( 4/10) Simulating: |=========================== |( 4/10) Simulating: |============================ |( 4/10) Simulating: |============================= |( 4/10) Simulating: |============================== |( 4/10) Simulating: |=============================== |( 4/10) Simulating: |================================ |( 4/10) Simulating: |================================= |( 4/10) Simulating: |================================== |( 4/10) Simulating: |=================================== |( 4/10) Simulating: |==================================== |( 4/10) Simulating: |===================================== |( 4/10) Simulating: |====================================== |( 4/10) Simulating: |======================================= |( 4/10) Simulating: |======================================== |( 4/10) Simulating: |========================================= |( 4/10) Simulating: |========================================== |( 4/10) Simulating: |=========================================== |( 4/10) Simulating: |============================================ |( 4/10) Simulating: |============================================= |( 4/10) Simulating: |============================================== |( 4/10) Simulating: |=============================================== |( 4/10) Simulating: |================================================ |( 4/10) Simulating: |================================================= |( 4/10) Simulating: |================================================== |( 4/10) Simulating: |=================================================== |( 4/10) Simulating: |==================================================== |( 4/10) Simulating: |===================================================== |( 4/10) Simulating: |====================================================== |( 4/10) Simulating: |======================================================= |( 4/10) Simulating: |======================================================== |( 4/10) Simulating: |========================================================= |( 4/10) Simulating: |==========================================================|( 4/10) ( 5/10) ( 5/10) Simulating: | |( 5/10) Simulating: |= |( 5/10) Simulating: |== |( 5/10) Simulating: |=== |( 5/10) Simulating: |==== |( 5/10) Simulating: |===== |( 5/10) Simulating: |====== |( 5/10) Simulating: |======= |( 5/10) Simulating: |======== |( 5/10) Simulating: |========= |( 5/10) Simulating: |========== |( 5/10) Simulating: |=========== |( 5/10) Simulating: |============ |( 5/10) Simulating: |============= |( 5/10) Simulating: |============== |( 5/10) Simulating: |=============== |( 5/10) Simulating: |================ |( 5/10) Simulating: |================= |( 5/10) Simulating: |================== |( 5/10) Simulating: |=================== |( 5/10) Simulating: |==================== |( 5/10) Simulating: |===================== |( 5/10) Simulating: |====================== |( 5/10) Simulating: |======================= |( 5/10) Simulating: |======================== |( 5/10) Simulating: |========================= |( 5/10) Simulating: |========================== |( 5/10) Simulating: |=========================== |( 5/10) Simulating: |============================ |( 5/10) Simulating: |============================= |( 5/10) Simulating: |============================== |( 5/10) Simulating: |=============================== |( 5/10) Simulating: |================================ |( 5/10) Simulating: |================================= |( 5/10) Simulating: |================================== |( 5/10) Simulating: |=================================== |( 5/10) Simulating: |==================================== |( 5/10) Simulating: |===================================== |( 5/10) Simulating: |====================================== |( 5/10) Simulating: |======================================= |( 5/10) Simulating: |======================================== |( 5/10) Simulating: |========================================= |( 5/10) Simulating: |========================================== |( 5/10) Simulating: |=========================================== |( 5/10) Simulating: |============================================ |( 5/10) Simulating: |============================================= |( 5/10) Simulating: |============================================== |( 5/10) Simulating: |=============================================== |( 5/10) Simulating: |================================================ |( 5/10) Simulating: |================================================= |( 5/10) Simulating: |================================================== |( 5/10) Simulating: |=================================================== |( 5/10) Simulating: |==================================================== |( 5/10) Simulating: |===================================================== |( 5/10) Simulating: |====================================================== |( 5/10) Simulating: |======================================================= |( 5/10) Simulating: |======================================================== |( 5/10) Simulating: |========================================================= |( 5/10) Simulating: |==========================================================|( 5/10) ( 6/10) ( 6/10) Simulating: | |( 6/10) Simulating: |= |( 6/10) Simulating: |== |( 6/10) Simulating: |=== |( 6/10) Simulating: |==== |( 6/10) Simulating: |===== |( 6/10) Simulating: |====== |( 6/10) Simulating: |======= |( 6/10) Simulating: |======== |( 6/10) Simulating: |========= |( 6/10) Simulating: |========== |( 6/10) Simulating: |=========== |( 6/10) Simulating: |============ |( 6/10) Simulating: |============= |( 6/10) Simulating: |============== |( 6/10) Simulating: |=============== |( 6/10) Simulating: |================ |( 6/10) Simulating: |================= |( 6/10) Simulating: |================== |( 6/10) Simulating: |=================== |( 6/10) Simulating: |==================== |( 6/10) Simulating: |===================== |( 6/10) Simulating: |====================== |( 6/10) Simulating: |======================= |( 6/10) Simulating: |======================== |( 6/10) Simulating: |========================= |( 6/10) Simulating: |========================== |( 6/10) Simulating: |=========================== |( 6/10) Simulating: |============================ |( 6/10) Simulating: |============================= |( 6/10) Simulating: |============================== |( 6/10) Simulating: |=============================== |( 6/10) Simulating: |================================ |( 6/10) Simulating: |================================= |( 6/10) Simulating: |================================== |( 6/10) Simulating: |=================================== |( 6/10) Simulating: |==================================== |( 6/10) Simulating: |===================================== |( 6/10) Simulating: |====================================== |( 6/10) Simulating: |======================================= |( 6/10) Simulating: |======================================== |( 6/10) Simulating: |========================================= |( 6/10) Simulating: |========================================== |( 6/10) Simulating: |=========================================== |( 6/10) Simulating: |============================================ |( 6/10) Simulating: |============================================= |( 6/10) Simulating: |============================================== |( 6/10) Simulating: |=============================================== |( 6/10) Simulating: |================================================ |( 6/10) Simulating: |================================================= |( 6/10) Simulating: |================================================== |( 6/10) Simulating: |=================================================== |( 6/10) Simulating: |==================================================== |( 6/10) Simulating: |===================================================== |( 6/10) Simulating: |====================================================== |( 6/10) Simulating: |======================================================= |( 6/10) Simulating: |======================================================== |( 6/10) Simulating: |========================================================= |( 6/10) Simulating: |==========================================================|( 6/10) ( 7/10) ( 7/10) Simulating: | |( 7/10) Simulating: |= |( 7/10) Simulating: |== |( 7/10) Simulating: |=== |( 7/10) Simulating: |==== |( 7/10) Simulating: |===== |( 7/10) Simulating: |====== |( 7/10) Simulating: |======= |( 7/10) Simulating: |======== |( 7/10) Simulating: |========= |( 7/10) Simulating: |========== |( 7/10) Simulating: |=========== |( 7/10) Simulating: |============ |( 7/10) Simulating: |============= |( 7/10) Simulating: |============== |( 7/10) Simulating: |=============== |( 7/10) Simulating: |================ |( 7/10) Simulating: |================= |( 7/10) Simulating: |================== |( 7/10) Simulating: |=================== |( 7/10) Simulating: |==================== |( 7/10) Simulating: |===================== |( 7/10) Simulating: |====================== |( 7/10) Simulating: |======================= |( 7/10) Simulating: |======================== |( 7/10) Simulating: |========================= |( 7/10) Simulating: |========================== |( 7/10) Simulating: |=========================== |( 7/10) Simulating: |============================ |( 7/10) Simulating: |============================= |( 7/10) Simulating: |============================== |( 7/10) Simulating: |=============================== |( 7/10) Simulating: |================================ |( 7/10) Simulating: |================================= |( 7/10) Simulating: |================================== |( 7/10) Simulating: |=================================== |( 7/10) Simulating: |==================================== |( 7/10) Simulating: |===================================== |( 7/10) Simulating: |====================================== |( 7/10) Simulating: |======================================= |( 7/10) Simulating: |======================================== |( 7/10) Simulating: |========================================= |( 7/10) Simulating: |========================================== |( 7/10) Simulating: |=========================================== |( 7/10) Simulating: |============================================ |( 7/10) Simulating: |============================================= |( 7/10) Simulating: |============================================== |( 7/10) Simulating: |=============================================== |( 7/10) Simulating: |================================================ |( 7/10) Simulating: |================================================= |( 7/10) Simulating: |================================================== |( 7/10) Simulating: |=================================================== |( 7/10) Simulating: |==================================================== |( 7/10) Simulating: |===================================================== |( 7/10) Simulating: |====================================================== |( 7/10) Simulating: |======================================================= |( 7/10) Simulating: |======================================================== |( 7/10) Simulating: |========================================================= |( 7/10) Simulating: |==========================================================|( 7/10) ( 8/10) ( 8/10) Simulating: | |( 8/10) Simulating: |= |( 8/10) Simulating: |== |( 8/10) Simulating: |=== |( 8/10) Simulating: |==== |( 8/10) Simulating: |===== |( 8/10) Simulating: |====== |( 8/10) Simulating: |======= |( 8/10) Simulating: |======== |( 8/10) Simulating: |========= |( 8/10) Simulating: |========== |( 8/10) Simulating: |=========== |( 8/10) Simulating: |============ |( 8/10) Simulating: |============= |( 8/10) Simulating: |============== |( 8/10) Simulating: |=============== |( 8/10) Simulating: |================ |( 8/10) Simulating: |================= |( 8/10) Simulating: |================== |( 8/10) Simulating: |=================== |( 8/10) Simulating: |==================== |( 8/10) Simulating: |===================== |( 8/10) Simulating: |====================== |( 8/10) Simulating: |======================= |( 8/10) Simulating: |======================== |( 8/10) Simulating: |========================= |( 8/10) Simulating: |========================== |( 8/10) Simulating: |=========================== |( 8/10) Simulating: |============================ |( 8/10) Simulating: |============================= |( 8/10) Simulating: |============================== |( 8/10) Simulating: |=============================== |( 8/10) Simulating: |================================ |( 8/10) Simulating: |================================= |( 8/10) Simulating: |================================== |( 8/10) Simulating: |=================================== |( 8/10) Simulating: |==================================== |( 8/10) Simulating: |===================================== |( 8/10) Simulating: |====================================== |( 8/10) Simulating: |======================================= |( 8/10) Simulating: |======================================== |( 8/10) Simulating: |========================================= |( 8/10) Simulating: |========================================== |( 8/10) Simulating: |=========================================== |( 8/10) Simulating: |============================================ |( 8/10) Simulating: |============================================= |( 8/10) Simulating: |============================================== |( 8/10) Simulating: |=============================================== |( 8/10) Simulating: |================================================ |( 8/10) Simulating: |================================================= |( 8/10) Simulating: |================================================== |( 8/10) Simulating: |=================================================== |( 8/10) Simulating: |==================================================== |( 8/10) Simulating: |===================================================== |( 8/10) Simulating: |====================================================== |( 8/10) Simulating: |======================================================= |( 8/10) Simulating: |======================================================== |( 8/10) Simulating: |========================================================= |( 8/10) Simulating: |==========================================================|( 8/10) ( 9/10) ( 9/10) Simulating: | |( 9/10) Simulating: |= |( 9/10) Simulating: |== |( 9/10) Simulating: |=== |( 9/10) Simulating: |==== |( 9/10) Simulating: |===== |( 9/10) Simulating: |====== |( 9/10) Simulating: |======= |( 9/10) Simulating: |======== |( 9/10) Simulating: |========= |( 9/10) Simulating: |========== |( 9/10) Simulating: |=========== |( 9/10) Simulating: |============ |( 9/10) Simulating: |============= |( 9/10) Simulating: |============== |( 9/10) Simulating: |=============== |( 9/10) Simulating: |================ |( 9/10) Simulating: |================= |( 9/10) Simulating: |================== |( 9/10) Simulating: |=================== |( 9/10) Simulating: |==================== |( 9/10) Simulating: |===================== |( 9/10) Simulating: |====================== |( 9/10) Simulating: |======================= |( 9/10) Simulating: |======================== |( 9/10) Simulating: |========================= |( 9/10) Simulating: |========================== |( 9/10) Simulating: |=========================== |( 9/10) Simulating: |============================ |( 9/10) Simulating: |============================= |( 9/10) Simulating: |============================== |( 9/10) Simulating: |=============================== |( 9/10) Simulating: |================================ |( 9/10) Simulating: |================================= |( 9/10) Simulating: |================================== |( 9/10) Simulating: |=================================== |( 9/10) Simulating: |==================================== |( 9/10) Simulating: |===================================== |( 9/10) Simulating: |====================================== |( 9/10) Simulating: |======================================= |( 9/10) Simulating: |======================================== |( 9/10) Simulating: |========================================= |( 9/10) Simulating: |========================================== |( 9/10) Simulating: |=========================================== |( 9/10) Simulating: |============================================ |( 9/10) Simulating: |============================================= |( 9/10) Simulating: |============================================== |( 9/10) Simulating: |=============================================== |( 9/10) Simulating: |================================================ |( 9/10) Simulating: |================================================= |( 9/10) Simulating: |================================================== |( 9/10) Simulating: |=================================================== |( 9/10) Simulating: |==================================================== |( 9/10) Simulating: |===================================================== |( 9/10) Simulating: |====================================================== |( 9/10) Simulating: |======================================================= |( 9/10) Simulating: |======================================================== |( 9/10) Simulating: |========================================================= |( 9/10) Simulating: |==========================================================|( 9/10) (10/10) (10/10) Simulating: | |(10/10) Simulating: |= |(10/10) Simulating: |== |(10/10) Simulating: |=== |(10/10) Simulating: |==== |(10/10) Simulating: |===== |(10/10) Simulating: |====== |(10/10) Simulating: |======= |(10/10) Simulating: |======== |(10/10) Simulating: |========= |(10/10) Simulating: |========== |(10/10) Simulating: |=========== |(10/10) Simulating: |============ |(10/10) Simulating: |============= |(10/10) Simulating: |============== |(10/10) Simulating: |=============== |(10/10) Simulating: |================ |(10/10) Simulating: |================= |(10/10) Simulating: |================== |(10/10) Simulating: |=================== |(10/10) Simulating: |==================== |(10/10) Simulating: |===================== |(10/10) Simulating: |====================== |(10/10) Simulating: |======================= |(10/10) Simulating: |======================== |(10/10) Simulating: |========================= |(10/10) Simulating: |========================== |(10/10) Simulating: |=========================== |(10/10) Simulating: |============================ |(10/10) Simulating: |============================= |(10/10) Simulating: |============================== |(10/10) Simulating: |=============================== |(10/10) Simulating: |================================ |(10/10) Simulating: |================================= |(10/10) Simulating: |================================== |(10/10) Simulating: |=================================== |(10/10) Simulating: |==================================== |(10/10) Simulating: |===================================== |(10/10) Simulating: |====================================== |(10/10) Simulating: |======================================= |(10/10) Simulating: |======================================== |(10/10) Simulating: |========================================= |(10/10) Simulating: |========================================== |(10/10) Simulating: |=========================================== |(10/10) Simulating: |============================================ |(10/10) Simulating: |============================================= |(10/10) Simulating: |============================================== |(10/10) Simulating: |=============================================== |(10/10) Simulating: |================================================ |(10/10) Simulating: |================================================= |(10/10) Simulating: |================================================== |(10/10) Simulating: |=================================================== |(10/10) Simulating: |==================================================== |(10/10) Simulating: |===================================================== |(10/10) Simulating: |====================================================== |(10/10) Simulating: |======================================================= |(10/10) Simulating: |======================================================== |(10/10) Simulating: |========================================================= |(10/10) Simulating: |==========================================================|(10/10) curve_embeddings <- powerCurve(model_sim,
fixed("RDM_typeuse_phrase_embeddings_model", "t"),
along = "subject_id",
breaks = c(10, 20, 30, 40, 50, 60, 70, 80, 90, 100),
nsim = 100)## Simulating: | |Simulating: |= |Simulating: |== |Simulating: |=== |Simulating: |==== |Simulating: |===== |Simulating: |====== |Simulating: |======= |Simulating: |======== |Simulating: |========= |Simulating: |========== |Simulating: |=========== |Simulating: |============ |Simulating: |============= |Simulating: |============== |Simulating: |=============== |Simulating: |================ |Simulating: |================= |Simulating: |================== |Simulating: |=================== |Simulating: |==================== |Simulating: |===================== |Simulating: |====================== |Simulating: |======================= |Simulating: |======================== |Simulating: |========================= |Simulating: |========================== |Simulating: |=========================== |Simulating: |============================ |Simulating: |============================= |Simulating: |============================== |Simulating: |=============================== |Simulating: |================================ |Simulating: |================================= |Simulating: |================================== |Simulating: |=================================== |Simulating: |==================================== |Simulating: |===================================== |Simulating: |====================================== |Simulating: |======================================= |Simulating: |======================================== |Simulating: |========================================= |Simulating: |========================================== |Simulating: |=========================================== |Simulating: |============================================ |Simulating: |============================================= |Simulating: |============================================== |Simulating: |=============================================== |Simulating: |================================================ |Simulating: |================================================= |Simulating: |================================================== |Simulating: |=================================================== |Simulating: |==================================================== |Simulating: |===================================================== |Simulating: |====================================================== |Simulating: |======================================================= |Simulating: |======================================================== |Simulating: |========================================================= |Simulating: |========================================================== |Simulating: |=========================================================== |Simulating: |============================================================ |Simulating: |============================================================= |Simulating: |============================================================== |Simulating: |=============================================================== |Simulating: |================================================================ |Simulating: |================================================================= |Simulating: |==================================================================|( 1/10) ( 1/10) Simulating: | |( 1/10) Simulating: |= |( 1/10) Simulating: |== |( 1/10) Simulating: |=== |( 1/10) Simulating: |==== |( 1/10) Simulating: |===== |( 1/10) Simulating: |====== |( 1/10) Simulating: |======= |( 1/10) Simulating: |======== |( 1/10) Simulating: |========= |( 1/10) Simulating: |========== |( 1/10) Simulating: |=========== |( 1/10) Simulating: |============ |( 1/10) Simulating: |============= |( 1/10) Simulating: |============== |( 1/10) Simulating: |=============== |( 1/10) Simulating: |================ |( 1/10) Simulating: |================= |( 1/10) Simulating: |================== |( 1/10) Simulating: |=================== |( 1/10) Simulating: |==================== |( 1/10) Simulating: |===================== |( 1/10) Simulating: |====================== |( 1/10) Simulating: |======================= |( 1/10) Simulating: |======================== |( 1/10) Simulating: |========================= |( 1/10) Simulating: |========================== |( 1/10) Simulating: |=========================== |( 1/10) Simulating: |============================ |( 1/10) Simulating: |============================= |( 1/10) Simulating: |============================== |( 1/10) Simulating: |=============================== |( 1/10) Simulating: |================================ |( 1/10) Simulating: |================================= |( 1/10) Simulating: |================================== |( 1/10) Simulating: |=================================== |( 1/10) Simulating: |==================================== |( 1/10) Simulating: |===================================== |( 1/10) Simulating: |====================================== |( 1/10) Simulating: |======================================= |( 1/10) Simulating: |======================================== |( 1/10) Simulating: |========================================= |( 1/10) Simulating: |========================================== |( 1/10) Simulating: |=========================================== |( 1/10) Simulating: |============================================ |( 1/10) Simulating: |============================================= |( 1/10) Simulating: |============================================== |( 1/10) Simulating: |=============================================== |( 1/10) Simulating: |================================================ |( 1/10) Simulating: |================================================= |( 1/10) Simulating: |================================================== |( 1/10) Simulating: |=================================================== |( 1/10) Simulating: |==================================================== |( 1/10) Simulating: |===================================================== |( 1/10) Simulating: |====================================================== |( 1/10) Simulating: |======================================================= |( 1/10) Simulating: |======================================================== |( 1/10) Simulating: |========================================================= |( 1/10) Simulating: |==========================================================|( 1/10) ( 2/10) ( 2/10) Simulating: | |( 2/10) Simulating: |= |( 2/10) Simulating: |== |( 2/10) Simulating: |=== |( 2/10) Simulating: |==== |( 2/10) Simulating: |===== |( 2/10) Simulating: |====== |( 2/10) Simulating: |======= |( 2/10) Simulating: |======== |( 2/10) Simulating: |========= |( 2/10) Simulating: |========== |( 2/10) Simulating: |=========== |( 2/10) Simulating: |============ |( 2/10) Simulating: |============= |( 2/10) Simulating: |============== |( 2/10) Simulating: |=============== |( 2/10) Simulating: |================ |( 2/10) Simulating: |================= |( 2/10) Simulating: |================== |( 2/10) Simulating: |=================== |( 2/10) Simulating: |==================== |( 2/10) Simulating: |===================== |( 2/10) Simulating: |====================== |( 2/10) Simulating: |======================= |( 2/10) Simulating: |======================== |( 2/10) Simulating: |========================= |( 2/10) Simulating: |========================== |( 2/10) Simulating: |=========================== |( 2/10) Simulating: |============================ |( 2/10) Simulating: |============================= |( 2/10) Simulating: |============================== |( 2/10) Simulating: |=============================== |( 2/10) Simulating: |================================ |( 2/10) Simulating: |================================= |( 2/10) Simulating: |================================== |( 2/10) Simulating: |=================================== |( 2/10) Simulating: |==================================== |( 2/10) Simulating: |===================================== |( 2/10) Simulating: |====================================== |( 2/10) Simulating: |======================================= |( 2/10) Simulating: |======================================== |( 2/10) Simulating: |========================================= |( 2/10) Simulating: |========================================== |( 2/10) Simulating: |=========================================== |( 2/10) Simulating: |============================================ |( 2/10) Simulating: |============================================= |( 2/10) Simulating: |============================================== |( 2/10) Simulating: |=============================================== |( 2/10) Simulating: |================================================ |( 2/10) Simulating: |================================================= |( 2/10) Simulating: |================================================== |( 2/10) Simulating: |=================================================== |( 2/10) Simulating: |==================================================== |( 2/10) Simulating: |===================================================== |( 2/10) Simulating: |====================================================== |( 2/10) Simulating: |======================================================= |( 2/10) Simulating: |======================================================== |( 2/10) Simulating: |========================================================= |( 2/10) Simulating: |==========================================================|( 2/10) ( 3/10) ( 3/10) Simulating: | |( 3/10) Simulating: |= |( 3/10) Simulating: |== |( 3/10) Simulating: |=== |( 3/10) Simulating: |==== |( 3/10) Simulating: |===== |( 3/10) Simulating: |====== |( 3/10) Simulating: |======= |( 3/10) Simulating: |======== |( 3/10) Simulating: |========= |( 3/10) Simulating: |========== |( 3/10) Simulating: |=========== |( 3/10) Simulating: |============ |( 3/10) Simulating: |============= |( 3/10) Simulating: |============== |( 3/10) Simulating: |=============== |( 3/10) Simulating: |================ |( 3/10) Simulating: |================= |( 3/10) Simulating: |================== |( 3/10) Simulating: |=================== |( 3/10) Simulating: |==================== |( 3/10) Simulating: |===================== |( 3/10) Simulating: |====================== |( 3/10) Simulating: |======================= |( 3/10) Simulating: |======================== |( 3/10) Simulating: |========================= |( 3/10) Simulating: |========================== |( 3/10) Simulating: |=========================== |( 3/10) Simulating: |============================ |( 3/10) Simulating: |============================= |( 3/10) Simulating: |============================== |( 3/10) Simulating: |=============================== |( 3/10) Simulating: |================================ |( 3/10) Simulating: |================================= |( 3/10) Simulating: |================================== |( 3/10) Simulating: |=================================== |( 3/10) Simulating: |==================================== |( 3/10) Simulating: |===================================== |( 3/10) Simulating: |====================================== |( 3/10) Simulating: |======================================= |( 3/10) Simulating: |======================================== |( 3/10) Simulating: |========================================= |( 3/10) Simulating: |========================================== |( 3/10) Simulating: |=========================================== |( 3/10) Simulating: |============================================ |( 3/10) Simulating: |============================================= |( 3/10) Simulating: |============================================== |( 3/10) Simulating: |=============================================== |( 3/10) Simulating: |================================================ |( 3/10) Simulating: |================================================= |( 3/10) Simulating: |================================================== |( 3/10) Simulating: |=================================================== |( 3/10) Simulating: |==================================================== |( 3/10) Simulating: |===================================================== |( 3/10) Simulating: |====================================================== |( 3/10) Simulating: |======================================================= |( 3/10) Simulating: |======================================================== |( 3/10) Simulating: |========================================================= |( 3/10) Simulating: |==========================================================|( 3/10) ( 4/10) ( 4/10) Simulating: | |( 4/10) Simulating: |= |( 4/10) Simulating: |== |( 4/10) Simulating: |=== |( 4/10) Simulating: |==== |( 4/10) Simulating: |===== |( 4/10) Simulating: |====== |( 4/10) Simulating: |======= |( 4/10) Simulating: |======== |( 4/10) Simulating: |========= |( 4/10) Simulating: |========== |( 4/10) Simulating: |=========== |( 4/10) Simulating: |============ |( 4/10) Simulating: |============= |( 4/10) Simulating: |============== |( 4/10) Simulating: |=============== |( 4/10) Simulating: |================ |( 4/10) Simulating: |================= |( 4/10) Simulating: |================== |( 4/10) Simulating: |=================== |( 4/10) Simulating: |==================== |( 4/10) Simulating: |===================== |( 4/10) Simulating: |====================== |( 4/10) Simulating: |======================= |( 4/10) Simulating: |======================== |( 4/10) Simulating: |========================= |( 4/10) Simulating: |========================== |( 4/10) Simulating: |=========================== |( 4/10) Simulating: |============================ |( 4/10) Simulating: |============================= |( 4/10) Simulating: |============================== |( 4/10) Simulating: |=============================== |( 4/10) Simulating: |================================ |( 4/10) Simulating: |================================= |( 4/10) Simulating: |================================== |( 4/10) Simulating: |=================================== |( 4/10) Simulating: |==================================== |( 4/10) Simulating: |===================================== |( 4/10) Simulating: |====================================== |( 4/10) Simulating: |======================================= |( 4/10) Simulating: |======================================== |( 4/10) Simulating: |========================================= |( 4/10) Simulating: |========================================== |( 4/10) Simulating: |=========================================== |( 4/10) Simulating: |============================================ |( 4/10) Simulating: |============================================= |( 4/10) Simulating: |============================================== |( 4/10) Simulating: |=============================================== |( 4/10) Simulating: |================================================ |( 4/10) Simulating: |================================================= |( 4/10) Simulating: |================================================== |( 4/10) Simulating: |=================================================== |( 4/10) Simulating: |==================================================== |( 4/10) Simulating: |===================================================== |( 4/10) Simulating: |====================================================== |( 4/10) Simulating: |======================================================= |( 4/10) Simulating: |======================================================== |( 4/10) Simulating: |========================================================= |( 4/10) Simulating: |==========================================================|( 4/10) ( 5/10) ( 5/10) Simulating: | |( 5/10) Simulating: |= |( 5/10) Simulating: |== |( 5/10) Simulating: |=== |( 5/10) Simulating: |==== |( 5/10) Simulating: |===== |( 5/10) Simulating: |====== |( 5/10) Simulating: |======= |( 5/10) Simulating: |======== |( 5/10) Simulating: |========= |( 5/10) Simulating: |========== |( 5/10) Simulating: |=========== |( 5/10) Simulating: |============ |( 5/10) Simulating: |============= |( 5/10) Simulating: |============== |( 5/10) Simulating: |=============== |( 5/10) Simulating: |================ |( 5/10) Simulating: |================= |( 5/10) Simulating: |================== |( 5/10) Simulating: |=================== |( 5/10) Simulating: |==================== |( 5/10) Simulating: |===================== |( 5/10) Simulating: |====================== |( 5/10) Simulating: |======================= |( 5/10) Simulating: |======================== |( 5/10) Simulating: |========================= |( 5/10) Simulating: |========================== |( 5/10) Simulating: |=========================== |( 5/10) Simulating: |============================ |( 5/10) Simulating: |============================= |( 5/10) Simulating: |============================== |( 5/10) Simulating: |=============================== |( 5/10) Simulating: |================================ |( 5/10) Simulating: |================================= |( 5/10) Simulating: |================================== |( 5/10) Simulating: |=================================== |( 5/10) Simulating: |==================================== |( 5/10) Simulating: |===================================== |( 5/10) Simulating: |====================================== |( 5/10) Simulating: |======================================= |( 5/10) Simulating: |======================================== |( 5/10) Simulating: |========================================= |( 5/10) Simulating: |========================================== |( 5/10) Simulating: |=========================================== |( 5/10) Simulating: |============================================ |( 5/10) Simulating: |============================================= |( 5/10) Simulating: |============================================== |( 5/10) Simulating: |=============================================== |( 5/10) Simulating: |================================================ |( 5/10) Simulating: |================================================= |( 5/10) Simulating: |================================================== |( 5/10) Simulating: |=================================================== |( 5/10) Simulating: |==================================================== |( 5/10) Simulating: |===================================================== |( 5/10) Simulating: |====================================================== |( 5/10) Simulating: |======================================================= |( 5/10) Simulating: |======================================================== |( 5/10) Simulating: |========================================================= |( 5/10) Simulating: |==========================================================|( 5/10) ( 6/10) ( 6/10) Simulating: | |( 6/10) Simulating: |= |( 6/10) Simulating: |== |( 6/10) Simulating: |=== |( 6/10) Simulating: |==== |( 6/10) Simulating: |===== |( 6/10) Simulating: |====== |( 6/10) Simulating: |======= |( 6/10) Simulating: |======== |( 6/10) Simulating: |========= |( 6/10) Simulating: |========== |( 6/10) Simulating: |=========== |( 6/10) Simulating: |============ |( 6/10) Simulating: |============= |( 6/10) Simulating: |============== |( 6/10) Simulating: |=============== |( 6/10) Simulating: |================ |( 6/10) Simulating: |================= |( 6/10) Simulating: |================== |( 6/10) Simulating: |=================== |( 6/10) Simulating: |==================== |( 6/10) Simulating: |===================== |( 6/10) Simulating: |====================== |( 6/10) Simulating: |======================= |( 6/10) Simulating: |======================== |( 6/10) Simulating: |========================= |( 6/10) Simulating: |========================== |( 6/10) Simulating: |=========================== |( 6/10) Simulating: |============================ |( 6/10) Simulating: |============================= |( 6/10) Simulating: |============================== |( 6/10) Simulating: |=============================== |( 6/10) Simulating: |================================ |( 6/10) Simulating: |================================= |( 6/10) Simulating: |================================== |( 6/10) Simulating: |=================================== |( 6/10) Simulating: |==================================== |( 6/10) Simulating: |===================================== |( 6/10) Simulating: |====================================== |( 6/10) Simulating: |======================================= |( 6/10) Simulating: |======================================== |( 6/10) Simulating: |========================================= |( 6/10) Simulating: |========================================== |( 6/10) Simulating: |=========================================== |( 6/10) Simulating: |============================================ |( 6/10) Simulating: |============================================= |( 6/10) Simulating: |============================================== |( 6/10) Simulating: |=============================================== |( 6/10) Simulating: |================================================ |( 6/10) Simulating: |================================================= |( 6/10) Simulating: |================================================== |( 6/10) Simulating: |=================================================== |( 6/10) Simulating: |==================================================== |( 6/10) Simulating: |===================================================== |( 6/10) Simulating: |====================================================== |( 6/10) Simulating: |======================================================= |( 6/10) Simulating: |======================================================== |( 6/10) Simulating: |========================================================= |( 6/10) Simulating: |==========================================================|( 6/10) ( 7/10) ( 7/10) Simulating: | |( 7/10) Simulating: |= |( 7/10) Simulating: |== |( 7/10) Simulating: |=== |( 7/10) Simulating: |==== |( 7/10) Simulating: |===== |( 7/10) Simulating: |====== |( 7/10) Simulating: |======= |( 7/10) Simulating: |======== |( 7/10) Simulating: |========= |( 7/10) Simulating: |========== |( 7/10) Simulating: |=========== |( 7/10) Simulating: |============ |( 7/10) Simulating: |============= |( 7/10) Simulating: |============== |( 7/10) Simulating: |=============== |( 7/10) Simulating: |================ |( 7/10) Simulating: |================= |( 7/10) Simulating: |================== |( 7/10) Simulating: |=================== |( 7/10) Simulating: |==================== |( 7/10) Simulating: |===================== |( 7/10) Simulating: |====================== |( 7/10) Simulating: |======================= |( 7/10) Simulating: |======================== |( 7/10) Simulating: |========================= |( 7/10) Simulating: |========================== |( 7/10) Simulating: |=========================== |( 7/10) Simulating: |============================ |( 7/10) Simulating: |============================= |( 7/10) Simulating: |============================== |( 7/10) Simulating: |=============================== |( 7/10) Simulating: |================================ |( 7/10) Simulating: |================================= |( 7/10) Simulating: |================================== |( 7/10) Simulating: |=================================== |( 7/10) Simulating: |==================================== |( 7/10) Simulating: |===================================== |( 7/10) Simulating: |====================================== |( 7/10) Simulating: |======================================= |( 7/10) Simulating: |======================================== |( 7/10) Simulating: |========================================= |( 7/10) Simulating: |========================================== |( 7/10) Simulating: |=========================================== |( 7/10) Simulating: |============================================ |( 7/10) Simulating: |============================================= |( 7/10) Simulating: |============================================== |( 7/10) Simulating: |=============================================== |( 7/10) Simulating: |================================================ |( 7/10) Simulating: |================================================= |( 7/10) Simulating: |================================================== |( 7/10) Simulating: |=================================================== |( 7/10) Simulating: |==================================================== |( 7/10) Simulating: |===================================================== |( 7/10) Simulating: |====================================================== |( 7/10) Simulating: |======================================================= |( 7/10) Simulating: |======================================================== |( 7/10) Simulating: |========================================================= |( 7/10) Simulating: |==========================================================|( 7/10) ( 8/10) ( 8/10) Simulating: | |( 8/10) Simulating: |= |( 8/10) Simulating: |== |( 8/10) Simulating: |=== |( 8/10) Simulating: |==== |( 8/10) Simulating: |===== |( 8/10) Simulating: |====== |( 8/10) Simulating: |======= |( 8/10) Simulating: |======== |( 8/10) Simulating: |========= |( 8/10) Simulating: |========== |( 8/10) Simulating: |=========== |( 8/10) Simulating: |============ |( 8/10) Simulating: |============= |( 8/10) Simulating: |============== |( 8/10) Simulating: |=============== |( 8/10) Simulating: |================ |( 8/10) Simulating: |================= |( 8/10) Simulating: |================== |( 8/10) Simulating: |=================== |( 8/10) Simulating: |==================== |( 8/10) Simulating: |===================== |( 8/10) Simulating: |====================== |( 8/10) Simulating: |======================= |( 8/10) Simulating: |======================== |( 8/10) Simulating: |========================= |( 8/10) Simulating: |========================== |( 8/10) Simulating: |=========================== |( 8/10) Simulating: |============================ |( 8/10) Simulating: |============================= |( 8/10) Simulating: |============================== |( 8/10) Simulating: |=============================== |( 8/10) Simulating: |================================ |( 8/10) Simulating: |================================= |( 8/10) Simulating: |================================== |( 8/10) Simulating: |=================================== |( 8/10) Simulating: |==================================== |( 8/10) Simulating: |===================================== |( 8/10) Simulating: |====================================== |( 8/10) Simulating: |======================================= |( 8/10) Simulating: |======================================== |( 8/10) Simulating: |========================================= |( 8/10) Simulating: |========================================== |( 8/10) Simulating: |=========================================== |( 8/10) Simulating: |============================================ |( 8/10) Simulating: |============================================= |( 8/10) Simulating: |============================================== |( 8/10) Simulating: |=============================================== |( 8/10) Simulating: |================================================ |( 8/10) Simulating: |================================================= |( 8/10) Simulating: |================================================== |( 8/10) Simulating: |=================================================== |( 8/10) Simulating: |==================================================== |( 8/10) Simulating: |===================================================== |( 8/10) Simulating: |====================================================== |( 8/10) Simulating: |======================================================= |( 8/10) Simulating: |======================================================== |( 8/10) Simulating: |========================================================= |( 8/10) Simulating: |==========================================================|( 8/10) ( 9/10) ( 9/10) Simulating: | |( 9/10) Simulating: |= |( 9/10) Simulating: |== |( 9/10) Simulating: |=== |( 9/10) Simulating: |==== |( 9/10) Simulating: |===== |( 9/10) Simulating: |====== |( 9/10) Simulating: |======= |( 9/10) Simulating: |======== |( 9/10) Simulating: |========= |( 9/10) Simulating: |========== |( 9/10) Simulating: |=========== |( 9/10) Simulating: |============ |( 9/10) Simulating: |============= |( 9/10) Simulating: |============== |( 9/10) Simulating: |=============== |( 9/10) Simulating: |================ |( 9/10) Simulating: |================= |( 9/10) Simulating: |================== |( 9/10) Simulating: |=================== |( 9/10) Simulating: |==================== |( 9/10) Simulating: |===================== |( 9/10) Simulating: |====================== |( 9/10) Simulating: |======================= |( 9/10) Simulating: |======================== |( 9/10) Simulating: |========================= |( 9/10) Simulating: |========================== |( 9/10) Simulating: |=========================== |( 9/10) Simulating: |============================ |( 9/10) Simulating: |============================= |( 9/10) Simulating: |============================== |( 9/10) Simulating: |=============================== |( 9/10) Simulating: |================================ |( 9/10) Simulating: |================================= |( 9/10) Simulating: |================================== |( 9/10) Simulating: |=================================== |( 9/10) Simulating: |==================================== |( 9/10) Simulating: |===================================== |( 9/10) Simulating: |====================================== |( 9/10) Simulating: |======================================= |( 9/10) Simulating: |======================================== |( 9/10) Simulating: |========================================= |( 9/10) Simulating: |========================================== |( 9/10) Simulating: |=========================================== |( 9/10) Simulating: |============================================ |( 9/10) Simulating: |============================================= |( 9/10) Simulating: |============================================== |( 9/10) Simulating: |=============================================== |( 9/10) Simulating: |================================================ |( 9/10) Simulating: |================================================= |( 9/10) Simulating: |================================================== |( 9/10) Simulating: |=================================================== |( 9/10) Simulating: |==================================================== |( 9/10) Simulating: |===================================================== |( 9/10) Simulating: |====================================================== |( 9/10) Simulating: |======================================================= |( 9/10) Simulating: |======================================================== |( 9/10) Simulating: |========================================================= |( 9/10) Simulating: |==========================================================|( 9/10) (10/10) (10/10) Simulating: | |(10/10) Simulating: |= |(10/10) Simulating: |== |(10/10) Simulating: |=== |(10/10) Simulating: |==== |(10/10) Simulating: |===== |(10/10) Simulating: |====== |(10/10) Simulating: |======= |(10/10) Simulating: |======== |(10/10) Simulating: |========= |(10/10) Simulating: |========== |(10/10) Simulating: |=========== |(10/10) Simulating: |============ |(10/10) Simulating: |============= |(10/10) Simulating: |============== |(10/10) Simulating: |=============== |(10/10) Simulating: |================ |(10/10) Simulating: |================= |(10/10) Simulating: |================== |(10/10) Simulating: |=================== |(10/10) Simulating: |==================== |(10/10) Simulating: |===================== |(10/10) Simulating: |====================== |(10/10) Simulating: |======================= |(10/10) Simulating: |======================== |(10/10) Simulating: |========================= |(10/10) Simulating: |========================== |(10/10) Simulating: |=========================== |(10/10) Simulating: |============================ |(10/10) Simulating: |============================= |(10/10) Simulating: |============================== |(10/10) Simulating: |=============================== |(10/10) Simulating: |================================ |(10/10) Simulating: |================================= |(10/10) Simulating: |================================== |(10/10) Simulating: |=================================== |(10/10) Simulating: |==================================== |(10/10) Simulating: |===================================== |(10/10) Simulating: |====================================== |(10/10) Simulating: |======================================= |(10/10) Simulating: |======================================== |(10/10) Simulating: |========================================= |(10/10) Simulating: |========================================== |(10/10) Simulating: |=========================================== |(10/10) Simulating: |============================================ |(10/10) Simulating: |============================================= |(10/10) Simulating: |============================================== |(10/10) Simulating: |=============================================== |(10/10) Simulating: |================================================ |(10/10) Simulating: |================================================= |(10/10) Simulating: |================================================== |(10/10) Simulating: |=================================================== |(10/10) Simulating: |==================================================== |(10/10) Simulating: |===================================================== |(10/10) Simulating: |====================================================== |(10/10) Simulating: |======================================================= |(10/10) Simulating: |======================================================== |(10/10) Simulating: |========================================================= |(10/10) Simulating: |==========================================================|(10/10) 8.2 plot power curves
## Power for predictor '(Intercept)', (95% confidence interval),
## by number of levels in subject_id:
## 2: 31.00% (22.13, 41.03) - 8 rows
## 5: 87.00% (78.80, 92.89) - 20 rows
## 10: 99.00% (94.55, 99.97) - 40 rows
## 20: 100.0% (96.38, 100.0) - 80 rows
## 30: 100.0% (96.38, 100.0) - 120 rows
## 40: 100.0% (96.38, 100.0) - 160 rows
## 50: 100.0% (96.38, 100.0) - 200 rows
## 60: 100.0% (96.38, 100.0) - 240 rows
## 70: 100.0% (96.38, 100.0) - 280 rows
## 80: 100.0% (96.38, 100.0) - 320 rows
## 90: 100.0% (96.38, 100.0) - 360 rows
## 100: 100.0% (96.38, 100.0) - 400 rows
##
## Time elapsed: 0 h 0 m 30 s
## Power for predictor 'RDM_typefinegrained_mind_action_physiology_model', (95% confidence interval),
## by number of levels in subject_id:
## 10: 30.00% (21.24, 39.98) - 40 rows
## 20: 49.00% (38.86, 59.20) - 80 rows
## 30: 63.00% (52.76, 72.44) - 120 rows
## 40: 74.00% (64.27, 82.26) - 160 rows
## 50: 82.00% (73.05, 88.97) - 200 rows
## 60: 90.00% (82.38, 95.10) - 240 rows
## 70: 92.00% (84.84, 96.48) - 280 rows
## 80: 99.00% (94.55, 99.97) - 320 rows
## 90: 100.0% (96.38, 100.0) - 360 rows
## 100: 99.00% (94.55, 99.97) - 400 rows
##
## Time elapsed: 0 h 0 m 25 s
## Power for predictor 'RDM_typephysical_psychological_model', (95% confidence interval),
## by number of levels in subject_id:
## 10: 71.00% (61.07, 79.64) - 40 rows
## 20: 92.00% (84.84, 96.48) - 80 rows
## 30: 98.00% (92.96, 99.76) - 120 rows
## 40: 100.0% (96.38, 100.0) - 160 rows
## 50: 100.0% (96.38, 100.0) - 200 rows
## 60: 100.0% (96.38, 100.0) - 240 rows
## 70: 100.0% (96.38, 100.0) - 280 rows
## 80: 100.0% (96.38, 100.0) - 320 rows
## 90: 100.0% (96.38, 100.0) - 360 rows
## 100: 100.0% (96.38, 100.0) - 400 rows
##
## Time elapsed: 0 h 0 m 25 s
## Power for predictor 'RDM_typeuse_phrase_embeddings_model', (95% confidence interval),
## by number of levels in subject_id:
## 10: 78.00% (68.61, 85.67) - 40 rows
## 20: 98.00% (92.96, 99.76) - 80 rows
## 30: 99.00% (94.55, 99.97) - 120 rows
## 40: 100.0% (96.38, 100.0) - 160 rows
## 50: 100.0% (96.38, 100.0) - 200 rows
## 60: 100.0% (96.38, 100.0) - 240 rows
## 70: 100.0% (96.38, 100.0) - 280 rows
## 80: 100.0% (96.38, 100.0) - 320 rows
## 90: 100.0% (96.38, 100.0) - 360 rows
## 100: 100.0% (96.38, 100.0) - 400 rows
##
## Time elapsed: 0 h 0 m 25 s8.3 simulate effect of MAP model on Causal v Freesort
# summary(model_prediction2)
# #suppose we want a study with 100 participants..
model_sim2 <- extend(model_prediction2, along = "subject_id", n = 100)
length(unique(simr::getData(model_sim2)$subject_id)) #confirm that N is now 100## [1] 100# #and we want to replicate the lower limit effect size, assuming pilot is inflated..
# #fixef(model_sim2)["(Intercept)"] <- -0.202
# #4
curve_difference <- powerCurve(model_sim2, fixed("taskcausal",
"t"),
along = "subject_id", breaks = c(2, 5, 10, 20, 30, 40, 50,
60, 70, 80, 90, 100,
110, 150), nsim = 100)## Calculating power at 14 sample sizes along subject_id## Simulating: | |Simulating: |= |Simulating: |== |Simulating: |=== |Simulating: |==== |Simulating: |===== |Simulating: |====== |Simulating: |======= |Simulating: |======== |Simulating: |========= |Simulating: |========== |Simulating: |=========== |Simulating: |============ |Simulating: |============= |Simulating: |============== |Simulating: |=============== |Simulating: |================ |Simulating: |================= |Simulating: |================== |Simulating: |=================== |Simulating: |==================== |Simulating: |===================== |Simulating: |====================== |Simulating: |======================= |Simulating: |======================== |Simulating: |========================= |Simulating: |========================== |Simulating: |=========================== |Simulating: |============================ |Simulating: |============================= |Simulating: |============================== |Simulating: |=============================== |Simulating: |================================ |Simulating: |================================= |Simulating: |================================== |Simulating: |=================================== |Simulating: |==================================== |Simulating: |===================================== |Simulating: |====================================== |Simulating: |======================================= |Simulating: |======================================== |Simulating: |========================================= |Simulating: |========================================== |Simulating: |=========================================== |Simulating: |============================================ |Simulating: |============================================= |Simulating: |============================================== |Simulating: |=============================================== |Simulating: |================================================ |Simulating: |================================================= |Simulating: |================================================== |Simulating: |=================================================== |Simulating: |==================================================== |Simulating: |===================================================== |Simulating: |====================================================== |Simulating: |======================================================= |Simulating: |======================================================== |Simulating: |========================================================= |Simulating: |========================================================== |Simulating: |=========================================================== |Simulating: |============================================================ |Simulating: |============================================================= |Simulating: |============================================================== |Simulating: |=============================================================== |Simulating: |================================================================ |Simulating: |================================================================= |Simulating: |==================================================================|( 1/14) ( 1/14) Simulating: | |## boundary (singular) fit: see help('isSingular')## ( 1/14) Simulating: |= |## boundary (singular) fit: see help('isSingular')## ( 1/14) Simulating: |== |## boundary (singular) fit: see help('isSingular')## ( 1/14) Simulating: |=== |## boundary (singular) fit: see help('isSingular')## ( 1/14) Simulating: |==== |## boundary (singular) fit: see help('isSingular')## ( 1/14) Simulating: |===== |( 1/14) Simulating: |====== |## boundary (singular) fit: see help('isSingular')## ( 1/14) Simulating: |======= |## boundary (singular) fit: see help('isSingular')## ( 1/14) Simulating: |======== |## boundary (singular) fit: see help('isSingular')## ( 1/14) Simulating: |========= |( 1/14) Simulating: |========== |( 1/14) Simulating: |=========== |## boundary (singular) fit: see help('isSingular')## boundary (singular) fit: see help('isSingular')## ( 1/14) Simulating: |============ |## boundary (singular) fit: see help('isSingular')## ( 1/14) Simulating: |============= |( 1/14) Simulating: |============== |( 1/14) Simulating: |=============== |## boundary (singular) fit: see help('isSingular')## ( 1/14) Simulating: |================ |( 1/14) Simulating: |================= |## boundary (singular) fit: see help('isSingular')## ( 1/14) Simulating: |================== |( 1/14) Simulating: |=================== |## boundary (singular) fit: see help('isSingular')## ( 1/14) Simulating: |==================== |## boundary (singular) fit: see help('isSingular')
## boundary (singular) fit: see help('isSingular')## ( 1/14) Simulating: |===================== |( 1/14) Simulating: |====================== |## boundary (singular) fit: see help('isSingular')## ( 1/14) Simulating: |======================= |( 1/14) Simulating: |======================== |## boundary (singular) fit: see help('isSingular')
## boundary (singular) fit: see help('isSingular')## ( 1/14) Simulating: |========================= |## boundary (singular) fit: see help('isSingular')## ( 1/14) Simulating: |========================== |## boundary (singular) fit: see help('isSingular')
## boundary (singular) fit: see help('isSingular')## ( 1/14) Simulating: |=========================== |( 1/14) Simulating: |============================ |( 1/14) Simulating: |============================= |## boundary (singular) fit: see help('isSingular')
## boundary (singular) fit: see help('isSingular')## ( 1/14) Simulating: |============================== |## boundary (singular) fit: see help('isSingular')
## boundary (singular) fit: see help('isSingular')## ( 1/14) Simulating: |=============================== |## boundary (singular) fit: see help('isSingular')## ( 1/14) Simulating: |================================ |( 1/14) Simulating: |================================= |( 1/14) Simulating: |================================== |## boundary (singular) fit: see help('isSingular')## ( 1/14) Simulating: |=================================== |( 1/14) Simulating: |==================================== |( 1/14) Simulating: |===================================== |( 1/14) Simulating: |====================================== |( 1/14) Simulating: |======================================= |## boundary (singular) fit: see help('isSingular')## ( 1/14) Simulating: |======================================== |## boundary (singular) fit: see help('isSingular')## ( 1/14) Simulating: |========================================= |## boundary (singular) fit: see help('isSingular')## ( 1/14) Simulating: |========================================== |( 1/14) Simulating: |=========================================== |## boundary (singular) fit: see help('isSingular')## ( 1/14) Simulating: |============================================ |## boundary (singular) fit: see help('isSingular')## ( 1/14) Simulating: |============================================= |## boundary (singular) fit: see help('isSingular')## ( 1/14) Simulating: |============================================== |## boundary (singular) fit: see help('isSingular')## ( 1/14) Simulating: |=============================================== |## boundary (singular) fit: see help('isSingular')## ( 1/14) Simulating: |================================================ |( 1/14) Simulating: |================================================= |## boundary (singular) fit: see help('isSingular')## ( 1/14) Simulating: |================================================== |( 1/14) Simulating: |=================================================== |## boundary (singular) fit: see help('isSingular')## ( 1/14) Simulating: |==================================================== |## boundary (singular) fit: see help('isSingular')## ( 1/14) Simulating: |===================================================== |## boundary (singular) fit: see help('isSingular')## ( 1/14) Simulating: |====================================================== |( 1/14) Simulating: |======================================================= |## boundary (singular) fit: see help('isSingular')
## boundary (singular) fit: see help('isSingular')## ( 1/14) Simulating: |======================================================== |( 1/14) Simulating: |========================================================= |## boundary (singular) fit: see help('isSingular')## ( 1/14) Simulating: |==========================================================|( 1/14) ( 2/14) ( 2/14) Simulating: | |## boundary (singular) fit: see help('isSingular')## ( 2/14) Simulating: |= |## boundary (singular) fit: see help('isSingular')## ( 2/14) Simulating: |== |## boundary (singular) fit: see help('isSingular')## ( 2/14) Simulating: |=== |( 2/14) Simulating: |==== |( 2/14) Simulating: |===== |( 2/14) Simulating: |====== |( 2/14) Simulating: |======= |## boundary (singular) fit: see help('isSingular')## ( 2/14) Simulating: |======== |( 2/14) Simulating: |========= |## boundary (singular) fit: see help('isSingular')## ( 2/14) Simulating: |========== |## boundary (singular) fit: see help('isSingular')## ( 2/14) Simulating: |=========== |## boundary (singular) fit: see help('isSingular')## ( 2/14) Simulating: |============ |## boundary (singular) fit: see help('isSingular')
## boundary (singular) fit: see help('isSingular')## ( 2/14) Simulating: |============= |## boundary (singular) fit: see help('isSingular')## ( 2/14) Simulating: |============== |## boundary (singular) fit: see help('isSingular')## ( 2/14) Simulating: |=============== |## boundary (singular) fit: see help('isSingular')## ( 2/14) Simulating: |================ |( 2/14) Simulating: |================= |## boundary (singular) fit: see help('isSingular')## ( 2/14) Simulating: |================== |## boundary (singular) fit: see help('isSingular')## ( 2/14) Simulating: |=================== |## boundary (singular) fit: see help('isSingular')## ( 2/14) Simulating: |==================== |## boundary (singular) fit: see help('isSingular')
## boundary (singular) fit: see help('isSingular')## ( 2/14) Simulating: |===================== |( 2/14) Simulating: |====================== |## boundary (singular) fit: see help('isSingular')## ( 2/14) Simulating: |======================= |( 2/14) Simulating: |======================== |( 2/14) Simulating: |========================= |## boundary (singular) fit: see help('isSingular')## ( 2/14) Simulating: |========================== |## boundary (singular) fit: see help('isSingular')
## boundary (singular) fit: see help('isSingular')## ( 2/14) Simulating: |=========================== |## boundary (singular) fit: see help('isSingular')## ( 2/14) Simulating: |============================ |( 2/14) Simulating: |============================= |## boundary (singular) fit: see help('isSingular')## ( 2/14) Simulating: |============================== |## boundary (singular) fit: see help('isSingular')## ( 2/14) Simulating: |=============================== |( 2/14) Simulating: |================================ |( 2/14) Simulating: |================================= |## boundary (singular) fit: see help('isSingular')## ( 2/14) Simulating: |================================== |( 2/14) Simulating: |=================================== |( 2/14) Simulating: |==================================== |( 2/14) Simulating: |===================================== |## boundary (singular) fit: see help('isSingular')## ( 2/14) Simulating: |====================================== |## boundary (singular) fit: see help('isSingular')
## boundary (singular) fit: see help('isSingular')## ( 2/14) Simulating: |======================================= |## boundary (singular) fit: see help('isSingular')## ( 2/14) Simulating: |======================================== |( 2/14) Simulating: |========================================= |## boundary (singular) fit: see help('isSingular')## ( 2/14) Simulating: |========================================== |( 2/14) Simulating: |=========================================== |## boundary (singular) fit: see help('isSingular')## ( 2/14) Simulating: |============================================ |## boundary (singular) fit: see help('isSingular')
## boundary (singular) fit: see help('isSingular')## ( 2/14) Simulating: |============================================= |## boundary (singular) fit: see help('isSingular')## ( 2/14) Simulating: |============================================== |## boundary (singular) fit: see help('isSingular')## ( 2/14) Simulating: |=============================================== |## boundary (singular) fit: see help('isSingular')## ( 2/14) Simulating: |================================================ |( 2/14) Simulating: |================================================= |## boundary (singular) fit: see help('isSingular')## ( 2/14) Simulating: |================================================== |( 2/14) Simulating: |=================================================== |( 2/14) Simulating: |==================================================== |## boundary (singular) fit: see help('isSingular')## ( 2/14) Simulating: |===================================================== |( 2/14) Simulating: |====================================================== |## boundary (singular) fit: see help('isSingular')## ( 2/14) Simulating: |======================================================= |## boundary (singular) fit: see help('isSingular')
## boundary (singular) fit: see help('isSingular')## ( 2/14) Simulating: |======================================================== |## boundary (singular) fit: see help('isSingular')## ( 2/14) Simulating: |========================================================= |## boundary (singular) fit: see help('isSingular')## ( 2/14) Simulating: |==========================================================|( 2/14) ( 3/14) ( 3/14) Simulating: | |## boundary (singular) fit: see help('isSingular')## ( 3/14) Simulating: |= |## boundary (singular) fit: see help('isSingular')## ( 3/14) Simulating: |== |( 3/14) Simulating: |=== |( 3/14) Simulating: |==== |( 3/14) Simulating: |===== |( 3/14) Simulating: |====== |## boundary (singular) fit: see help('isSingular')## ( 3/14) Simulating: |======= |## boundary (singular) fit: see help('isSingular')## ( 3/14) Simulating: |======== |( 3/14) Simulating: |========= |( 3/14) Simulating: |========== |## boundary (singular) fit: see help('isSingular')## ( 3/14) Simulating: |=========== |## boundary (singular) fit: see help('isSingular')## ( 3/14) Simulating: |============ |## boundary (singular) fit: see help('isSingular')
## boundary (singular) fit: see help('isSingular')## ( 3/14) Simulating: |============= |## boundary (singular) fit: see help('isSingular')## ( 3/14) Simulating: |============== |## boundary (singular) fit: see help('isSingular')## ( 3/14) Simulating: |=============== |## boundary (singular) fit: see help('isSingular')
## boundary (singular) fit: see help('isSingular')## ( 3/14) Simulating: |================ |( 3/14) Simulating: |================= |## boundary (singular) fit: see help('isSingular')
## boundary (singular) fit: see help('isSingular')## ( 3/14) Simulating: |================== |## boundary (singular) fit: see help('isSingular')## ( 3/14) Simulating: |=================== |## boundary (singular) fit: see help('isSingular')## ( 3/14) Simulating: |==================== |## boundary (singular) fit: see help('isSingular')
## boundary (singular) fit: see help('isSingular')## ( 3/14) Simulating: |===================== |## boundary (singular) fit: see help('isSingular')## ( 3/14) Simulating: |====================== |## boundary (singular) fit: see help('isSingular')
## boundary (singular) fit: see help('isSingular')## ( 3/14) Simulating: |======================= |( 3/14) Simulating: |======================== |( 3/14) Simulating: |========================= |( 3/14) Simulating: |========================== |## boundary (singular) fit: see help('isSingular')
## boundary (singular) fit: see help('isSingular')## ( 3/14) Simulating: |=========================== |## boundary (singular) fit: see help('isSingular')## ( 3/14) Simulating: |============================ |( 3/14) Simulating: |============================= |## boundary (singular) fit: see help('isSingular')## ( 3/14) Simulating: |============================== |## boundary (singular) fit: see help('isSingular')## ( 3/14) Simulating: |=============================== |## boundary (singular) fit: see help('isSingular')## ( 3/14) Simulating: |================================ |( 3/14) Simulating: |================================= |## boundary (singular) fit: see help('isSingular')## ( 3/14) Simulating: |================================== |( 3/14) Simulating: |=================================== |( 3/14) Simulating: |==================================== |( 3/14) Simulating: |===================================== |## boundary (singular) fit: see help('isSingular')## ( 3/14) Simulating: |====================================== |( 3/14) Simulating: |======================================= |## boundary (singular) fit: see help('isSingular')## ( 3/14) Simulating: |======================================== |( 3/14) Simulating: |========================================= |( 3/14) Simulating: |========================================== |( 3/14) Simulating: |=========================================== |( 3/14) Simulating: |============================================ |## boundary (singular) fit: see help('isSingular')
## boundary (singular) fit: see help('isSingular')## ( 3/14) Simulating: |============================================= |( 3/14) Simulating: |============================================== |( 3/14) Simulating: |=============================================== |( 3/14) Simulating: |================================================ |( 3/14) Simulating: |================================================= |## boundary (singular) fit: see help('isSingular')## ( 3/14) Simulating: |================================================== |( 3/14) Simulating: |=================================================== |( 3/14) Simulating: |==================================================== |( 3/14) Simulating: |===================================================== |## boundary (singular) fit: see help('isSingular')## ( 3/14) Simulating: |====================================================== |( 3/14) Simulating: |======================================================= |## boundary (singular) fit: see help('isSingular')
## boundary (singular) fit: see help('isSingular')## ( 3/14) Simulating: |======================================================== |( 3/14) Simulating: |========================================================= |( 3/14) Simulating: |==========================================================|( 3/14) ( 4/14) ( 4/14) Simulating: | |## boundary (singular) fit: see help('isSingular')## ( 4/14) Simulating: |= |## boundary (singular) fit: see help('isSingular')## ( 4/14) Simulating: |== |( 4/14) Simulating: |=== |( 4/14) Simulating: |==== |## boundary (singular) fit: see help('isSingular')## ( 4/14) Simulating: |===== |( 4/14) Simulating: |====== |## boundary (singular) fit: see help('isSingular')## ( 4/14) Simulating: |======= |## boundary (singular) fit: see help('isSingular')## ( 4/14) Simulating: |======== |( 4/14) Simulating: |========= |( 4/14) Simulating: |========== |( 4/14) Simulating: |=========== |( 4/14) Simulating: |============ |## boundary (singular) fit: see help('isSingular')## ( 4/14) Simulating: |============= |## boundary (singular) fit: see help('isSingular')## ( 4/14) Simulating: |============== |## boundary (singular) fit: see help('isSingular')## ( 4/14) Simulating: |=============== |## boundary (singular) fit: see help('isSingular')
## boundary (singular) fit: see help('isSingular')## ( 4/14) Simulating: |================ |( 4/14) Simulating: |================= |( 4/14) Simulating: |================== |( 4/14) Simulating: |=================== |## boundary (singular) fit: see help('isSingular')
## boundary (singular) fit: see help('isSingular')## ( 4/14) Simulating: |==================== |( 4/14) Simulating: |===================== |## boundary (singular) fit: see help('isSingular')## ( 4/14) Simulating: |====================== |## boundary (singular) fit: see help('isSingular')
## boundary (singular) fit: see help('isSingular')## ( 4/14) Simulating: |======================= |## boundary (singular) fit: see help('isSingular')## ( 4/14) Simulating: |======================== |( 4/14) Simulating: |========================= |( 4/14) Simulating: |========================== |## boundary (singular) fit: see help('isSingular')
## boundary (singular) fit: see help('isSingular')## ( 4/14) Simulating: |=========================== |## boundary (singular) fit: see help('isSingular')## ( 4/14) Simulating: |============================ |( 4/14) Simulating: |============================= |## boundary (singular) fit: see help('isSingular')## ( 4/14) Simulating: |============================== |## boundary (singular) fit: see help('isSingular')## ( 4/14) Simulating: |=============================== |( 4/14) Simulating: |================================ |( 4/14) Simulating: |================================= |## boundary (singular) fit: see help('isSingular')## ( 4/14) Simulating: |================================== |( 4/14) Simulating: |=================================== |( 4/14) Simulating: |==================================== |( 4/14) Simulating: |===================================== |## boundary (singular) fit: see help('isSingular')
## boundary (singular) fit: see help('isSingular')## ( 4/14) Simulating: |====================================== |## boundary (singular) fit: see help('isSingular')## ( 4/14) Simulating: |======================================= |## boundary (singular) fit: see help('isSingular')## ( 4/14) Simulating: |======================================== |( 4/14) Simulating: |========================================= |( 4/14) Simulating: |========================================== |( 4/14) Simulating: |=========================================== |( 4/14) Simulating: |============================================ |## boundary (singular) fit: see help('isSingular')## ( 4/14) Simulating: |============================================= |( 4/14) Simulating: |============================================== |( 4/14) Simulating: |=============================================== |( 4/14) Simulating: |================================================ |( 4/14) Simulating: |================================================= |## boundary (singular) fit: see help('isSingular')## ( 4/14) Simulating: |================================================== |( 4/14) Simulating: |=================================================== |( 4/14) Simulating: |==================================================== |( 4/14) Simulating: |===================================================== |## boundary (singular) fit: see help('isSingular')## ( 4/14) Simulating: |====================================================== |( 4/14) Simulating: |======================================================= |## boundary (singular) fit: see help('isSingular')## ( 4/14) Simulating: |======================================================== |( 4/14) Simulating: |========================================================= |( 4/14) Simulating: |==========================================================|( 4/14) ( 5/14) ( 5/14) Simulating: | |## boundary (singular) fit: see help('isSingular')## ( 5/14) Simulating: |= |## boundary (singular) fit: see help('isSingular')
## boundary (singular) fit: see help('isSingular')## ( 5/14) Simulating: |== |( 5/14) Simulating: |=== |## boundary (singular) fit: see help('isSingular')## ( 5/14) Simulating: |==== |( 5/14) Simulating: |===== |( 5/14) Simulating: |====== |## boundary (singular) fit: see help('isSingular')## ( 5/14) Simulating: |======= |( 5/14) Simulating: |======== |## boundary (singular) fit: see help('isSingular')## ( 5/14) Simulating: |========= |( 5/14) Simulating: |========== |## boundary (singular) fit: see help('isSingular')## ( 5/14) Simulating: |=========== |( 5/14) Simulating: |============ |( 5/14) Simulating: |============= |## boundary (singular) fit: see help('isSingular')## ( 5/14) Simulating: |============== |## boundary (singular) fit: see help('isSingular')## ( 5/14) Simulating: |=============== |## boundary (singular) fit: see help('isSingular')## ( 5/14) Simulating: |================ |( 5/14) Simulating: |================= |( 5/14) Simulating: |================== |( 5/14) Simulating: |=================== |## boundary (singular) fit: see help('isSingular')
## boundary (singular) fit: see help('isSingular')## ( 5/14) Simulating: |==================== |## boundary (singular) fit: see help('isSingular')## ( 5/14) Simulating: |===================== |( 5/14) Simulating: |====================== |## boundary (singular) fit: see help('isSingular')
## boundary (singular) fit: see help('isSingular')## ( 5/14) Simulating: |======================= |## boundary (singular) fit: see help('isSingular')## ( 5/14) Simulating: |======================== |( 5/14) Simulating: |========================= |( 5/14) Simulating: |========================== |## boundary (singular) fit: see help('isSingular')## ( 5/14) Simulating: |=========================== |( 5/14) Simulating: |============================ |( 5/14) Simulating: |============================= |## boundary (singular) fit: see help('isSingular')## ( 5/14) Simulating: |============================== |( 5/14) Simulating: |=============================== |## boundary (singular) fit: see help('isSingular')## ( 5/14) Simulating: |================================ |( 5/14) Simulating: |================================= |## boundary (singular) fit: see help('isSingular')## ( 5/14) Simulating: |================================== |( 5/14) Simulating: |=================================== |( 5/14) Simulating: |==================================== |( 5/14) Simulating: |===================================== |## boundary (singular) fit: see help('isSingular')## ( 5/14) Simulating: |====================================== |( 5/14) Simulating: |======================================= |## boundary (singular) fit: see help('isSingular')## ( 5/14) Simulating: |======================================== |( 5/14) Simulating: |========================================= |( 5/14) Simulating: |========================================== |( 5/14) Simulating: |=========================================== |( 5/14) Simulating: |============================================ |## boundary (singular) fit: see help('isSingular')## ( 5/14) Simulating: |============================================= |( 5/14) Simulating: |============================================== |## boundary (singular) fit: see help('isSingular')## ( 5/14) Simulating: |=============================================== |## boundary (singular) fit: see help('isSingular')## ( 5/14) Simulating: |================================================ |( 5/14) Simulating: |================================================= |## boundary (singular) fit: see help('isSingular')## ( 5/14) Simulating: |================================================== |( 5/14) Simulating: |=================================================== |( 5/14) Simulating: |==================================================== |( 5/14) Simulating: |===================================================== |( 5/14) Simulating: |====================================================== |( 5/14) Simulating: |======================================================= |## boundary (singular) fit: see help('isSingular')## ( 5/14) Simulating: |======================================================== |( 5/14) Simulating: |========================================================= |## boundary (singular) fit: see help('isSingular')## ( 5/14) Simulating: |==========================================================|( 5/14) ( 6/14) ( 6/14) Simulating: | |## boundary (singular) fit: see help('isSingular')## ( 6/14) Simulating: |= |( 6/14) Simulating: |== |( 6/14) Simulating: |=== |## boundary (singular) fit: see help('isSingular')## ( 6/14) Simulating: |==== |( 6/14) Simulating: |===== |( 6/14) Simulating: |====== |## boundary (singular) fit: see help('isSingular')## ( 6/14) Simulating: |======= |( 6/14) Simulating: |======== |## boundary (singular) fit: see help('isSingular')## ( 6/14) Simulating: |========= |( 6/14) Simulating: |========== |( 6/14) Simulating: |=========== |( 6/14) Simulating: |============ |## boundary (singular) fit: see help('isSingular')## ( 6/14) Simulating: |============= |## boundary (singular) fit: see help('isSingular')## ( 6/14) Simulating: |============== |## boundary (singular) fit: see help('isSingular')## ( 6/14) Simulating: |=============== |## boundary (singular) fit: see help('isSingular')## ( 6/14) Simulating: |================ |( 6/14) Simulating: |================= |( 6/14) Simulating: |================== |( 6/14) Simulating: |=================== |## boundary (singular) fit: see help('isSingular')
## boundary (singular) fit: see help('isSingular')## ( 6/14) Simulating: |==================== |## boundary (singular) fit: see help('isSingular')## ( 6/14) Simulating: |===================== |( 6/14) Simulating: |====================== |( 6/14) Simulating: |======================= |## boundary (singular) fit: see help('isSingular')## ( 6/14) Simulating: |======================== |( 6/14) Simulating: |========================= |( 6/14) Simulating: |========================== |## boundary (singular) fit: see help('isSingular')## ( 6/14) Simulating: |=========================== |( 6/14) Simulating: |============================ |( 6/14) Simulating: |============================= |## boundary (singular) fit: see help('isSingular')## ( 6/14) Simulating: |============================== |( 6/14) Simulating: |=============================== |## boundary (singular) fit: see help('isSingular')## ( 6/14) Simulating: |================================ |( 6/14) Simulating: |================================= |## boundary (singular) fit: see help('isSingular')## ( 6/14) Simulating: |================================== |( 6/14) Simulating: |=================================== |( 6/14) Simulating: |==================================== |( 6/14) Simulating: |===================================== |## boundary (singular) fit: see help('isSingular')
## boundary (singular) fit: see help('isSingular')## ( 6/14) Simulating: |====================================== |( 6/14) Simulating: |======================================= |## boundary (singular) fit: see help('isSingular')## ( 6/14) Simulating: |======================================== |( 6/14) Simulating: |========================================= |( 6/14) Simulating: |========================================== |( 6/14) Simulating: |=========================================== |( 6/14) Simulating: |============================================ |( 6/14) Simulating: |============================================= |( 6/14) Simulating: |============================================== |( 6/14) Simulating: |=============================================== |## boundary (singular) fit: see help('isSingular')## ( 6/14) Simulating: |================================================ |( 6/14) Simulating: |================================================= |## boundary (singular) fit: see help('isSingular')## ( 6/14) Simulating: |================================================== |( 6/14) Simulating: |=================================================== |( 6/14) Simulating: |==================================================== |( 6/14) Simulating: |===================================================== |## boundary (singular) fit: see help('isSingular')## ( 6/14) Simulating: |====================================================== |( 6/14) Simulating: |======================================================= |## boundary (singular) fit: see help('isSingular')## ( 6/14) Simulating: |======================================================== |( 6/14) Simulating: |========================================================= |## boundary (singular) fit: see help('isSingular')## ( 6/14) Simulating: |==========================================================|( 6/14) ( 7/14) ( 7/14) Simulating: | |( 7/14) Simulating: |= |( 7/14) Simulating: |== |## boundary (singular) fit: see help('isSingular')## ( 7/14) Simulating: |=== |## boundary (singular) fit: see help('isSingular')## ( 7/14) Simulating: |==== |( 7/14) Simulating: |===== |( 7/14) Simulating: |====== |## boundary (singular) fit: see help('isSingular')## ( 7/14) Simulating: |======= |( 7/14) Simulating: |======== |( 7/14) Simulating: |========= |( 7/14) Simulating: |========== |( 7/14) Simulating: |=========== |( 7/14) Simulating: |============ |## boundary (singular) fit: see help('isSingular')## ( 7/14) Simulating: |============= |( 7/14) Simulating: |============== |( 7/14) Simulating: |=============== |( 7/14) Simulating: |================ |( 7/14) Simulating: |================= |( 7/14) Simulating: |================== |( 7/14) Simulating: |=================== |## boundary (singular) fit: see help('isSingular')
## boundary (singular) fit: see help('isSingular')## ( 7/14) Simulating: |==================== |## boundary (singular) fit: see help('isSingular')## ( 7/14) Simulating: |===================== |( 7/14) Simulating: |====================== |## boundary (singular) fit: see help('isSingular')## ( 7/14) Simulating: |======================= |## boundary (singular) fit: see help('isSingular')## ( 7/14) Simulating: |======================== |( 7/14) Simulating: |========================= |( 7/14) Simulating: |========================== |## boundary (singular) fit: see help('isSingular')## ( 7/14) Simulating: |=========================== |( 7/14) Simulating: |============================ |( 7/14) Simulating: |============================= |## boundary (singular) fit: see help('isSingular')## ( 7/14) Simulating: |============================== |( 7/14) Simulating: |=============================== |## boundary (singular) fit: see help('isSingular')## ( 7/14) Simulating: |================================ |( 7/14) Simulating: |================================= |( 7/14) Simulating: |================================== |( 7/14) Simulating: |=================================== |( 7/14) Simulating: |==================================== |( 7/14) Simulating: |===================================== |## boundary (singular) fit: see help('isSingular')
## boundary (singular) fit: see help('isSingular')## ( 7/14) Simulating: |====================================== |( 7/14) Simulating: |======================================= |## boundary (singular) fit: see help('isSingular')## ( 7/14) Simulating: |======================================== |( 7/14) Simulating: |========================================= |( 7/14) Simulating: |========================================== |( 7/14) Simulating: |=========================================== |( 7/14) Simulating: |============================================ |( 7/14) Simulating: |============================================= |( 7/14) Simulating: |============================================== |( 7/14) Simulating: |=============================================== |## boundary (singular) fit: see help('isSingular')## ( 7/14) Simulating: |================================================ |( 7/14) Simulating: |================================================= |( 7/14) Simulating: |================================================== |( 7/14) Simulating: |=================================================== |( 7/14) Simulating: |==================================================== |( 7/14) Simulating: |===================================================== |( 7/14) Simulating: |====================================================== |( 7/14) Simulating: |======================================================= |## boundary (singular) fit: see help('isSingular')## ( 7/14) Simulating: |======================================================== |( 7/14) Simulating: |========================================================= |( 7/14) Simulating: |==========================================================|( 7/14) ( 8/14) ( 8/14) Simulating: | |( 8/14) Simulating: |= |( 8/14) Simulating: |== |## boundary (singular) fit: see help('isSingular')## ( 8/14) Simulating: |=== |## boundary (singular) fit: see help('isSingular')## ( 8/14) Simulating: |==== |( 8/14) Simulating: |===== |( 8/14) Simulating: |====== |## boundary (singular) fit: see help('isSingular')## ( 8/14) Simulating: |======= |( 8/14) Simulating: |======== |( 8/14) Simulating: |========= |( 8/14) Simulating: |========== |( 8/14) Simulating: |=========== |( 8/14) Simulating: |============ |( 8/14) Simulating: |============= |( 8/14) Simulating: |============== |( 8/14) Simulating: |=============== |( 8/14) Simulating: |================ |( 8/14) Simulating: |================= |( 8/14) Simulating: |================== |( 8/14) Simulating: |=================== |## boundary (singular) fit: see help('isSingular')
## boundary (singular) fit: see help('isSingular')## ( 8/14) Simulating: |==================== |## boundary (singular) fit: see help('isSingular')## ( 8/14) Simulating: |===================== |( 8/14) Simulating: |====================== |## boundary (singular) fit: see help('isSingular')## ( 8/14) Simulating: |======================= |## boundary (singular) fit: see help('isSingular')## ( 8/14) Simulating: |======================== |( 8/14) Simulating: |========================= |( 8/14) Simulating: |========================== |## boundary (singular) fit: see help('isSingular')## ( 8/14) Simulating: |=========================== |( 8/14) Simulating: |============================ |( 8/14) Simulating: |============================= |## boundary (singular) fit: see help('isSingular')## ( 8/14) Simulating: |============================== |( 8/14) Simulating: |=============================== |## boundary (singular) fit: see help('isSingular')## ( 8/14) Simulating: |================================ |( 8/14) Simulating: |================================= |( 8/14) Simulating: |================================== |( 8/14) Simulating: |=================================== |( 8/14) Simulating: |==================================== |( 8/14) Simulating: |===================================== |## boundary (singular) fit: see help('isSingular')
## boundary (singular) fit: see help('isSingular')## ( 8/14) Simulating: |====================================== |( 8/14) Simulating: |======================================= |( 8/14) Simulating: |======================================== |( 8/14) Simulating: |========================================= |( 8/14) Simulating: |========================================== |( 8/14) Simulating: |=========================================== |( 8/14) Simulating: |============================================ |( 8/14) Simulating: |============================================= |( 8/14) Simulating: |============================================== |( 8/14) Simulating: |=============================================== |## boundary (singular) fit: see help('isSingular')## ( 8/14) Simulating: |================================================ |( 8/14) Simulating: |================================================= |## boundary (singular) fit: see help('isSingular')## ( 8/14) Simulating: |================================================== |( 8/14) Simulating: |=================================================== |( 8/14) Simulating: |==================================================== |( 8/14) Simulating: |===================================================== |( 8/14) Simulating: |====================================================== |( 8/14) Simulating: |======================================================= |( 8/14) Simulating: |======================================================== |( 8/14) Simulating: |========================================================= |( 8/14) Simulating: |==========================================================|( 8/14) ( 9/14) ( 9/14) Simulating: | |( 9/14) Simulating: |= |( 9/14) Simulating: |== |## boundary (singular) fit: see help('isSingular')## ( 9/14) Simulating: |=== |( 9/14) Simulating: |==== |( 9/14) Simulating: |===== |( 9/14) Simulating: |====== |## boundary (singular) fit: see help('isSingular')## ( 9/14) Simulating: |======= |( 9/14) Simulating: |======== |( 9/14) Simulating: |========= |( 9/14) Simulating: |========== |( 9/14) Simulating: |=========== |( 9/14) Simulating: |============ |( 9/14) Simulating: |============= |( 9/14) Simulating: |============== |( 9/14) Simulating: |=============== |## boundary (singular) fit: see help('isSingular')## ( 9/14) Simulating: |================ |## boundary (singular) fit: see help('isSingular')## ( 9/14) Simulating: |================= |## boundary (singular) fit: see help('isSingular')## ( 9/14) Simulating: |================== |## boundary (singular) fit: see help('isSingular')## ( 9/14) Simulating: |=================== |## boundary (singular) fit: see help('isSingular')
## boundary (singular) fit: see help('isSingular')## ( 9/14) Simulating: |==================== |## boundary (singular) fit: see help('isSingular')## ( 9/14) Simulating: |===================== |( 9/14) Simulating: |====================== |## boundary (singular) fit: see help('isSingular')## ( 9/14) Simulating: |======================= |## boundary (singular) fit: see help('isSingular')## ( 9/14) Simulating: |======================== |( 9/14) Simulating: |========================= |( 9/14) Simulating: |========================== |( 9/14) Simulating: |=========================== |( 9/14) Simulating: |============================ |( 9/14) Simulating: |============================= |## boundary (singular) fit: see help('isSingular')## ( 9/14) Simulating: |============================== |( 9/14) Simulating: |=============================== |( 9/14) Simulating: |================================ |( 9/14) Simulating: |================================= |( 9/14) Simulating: |================================== |( 9/14) Simulating: |=================================== |( 9/14) Simulating: |==================================== |( 9/14) Simulating: |===================================== |## boundary (singular) fit: see help('isSingular')
## boundary (singular) fit: see help('isSingular')## ( 9/14) Simulating: |====================================== |( 9/14) Simulating: |======================================= |## boundary (singular) fit: see help('isSingular')## ( 9/14) Simulating: |======================================== |( 9/14) Simulating: |========================================= |( 9/14) Simulating: |========================================== |( 9/14) Simulating: |=========================================== |( 9/14) Simulating: |============================================ |( 9/14) Simulating: |============================================= |( 9/14) Simulating: |============================================== |( 9/14) Simulating: |=============================================== |## boundary (singular) fit: see help('isSingular')## ( 9/14) Simulating: |================================================ |( 9/14) Simulating: |================================================= |( 9/14) Simulating: |================================================== |( 9/14) Simulating: |=================================================== |( 9/14) Simulating: |==================================================== |( 9/14) Simulating: |===================================================== |## boundary (singular) fit: see help('isSingular')## ( 9/14) Simulating: |====================================================== |( 9/14) Simulating: |======================================================= |( 9/14) Simulating: |======================================================== |## boundary (singular) fit: see help('isSingular')## ( 9/14) Simulating: |========================================================= |( 9/14) Simulating: |==========================================================|( 9/14) (10/14) (10/14) Simulating: | |(10/14) Simulating: |= |(10/14) Simulating: |== |## boundary (singular) fit: see help('isSingular')## (10/14) Simulating: |=== |(10/14) Simulating: |==== |(10/14) Simulating: |===== |(10/14) Simulating: |====== |## boundary (singular) fit: see help('isSingular')## (10/14) Simulating: |======= |(10/14) Simulating: |======== |(10/14) Simulating: |========= |(10/14) Simulating: |========== |(10/14) Simulating: |=========== |(10/14) Simulating: |============ |(10/14) Simulating: |============= |(10/14) Simulating: |============== |(10/14) Simulating: |=============== |## boundary (singular) fit: see help('isSingular')## (10/14) Simulating: |================ |## boundary (singular) fit: see help('isSingular')## (10/14) Simulating: |================= |(10/14) Simulating: |================== |(10/14) Simulating: |=================== |## boundary (singular) fit: see help('isSingular')
## boundary (singular) fit: see help('isSingular')## (10/14) Simulating: |==================== |(10/14) Simulating: |===================== |(10/14) Simulating: |====================== |## boundary (singular) fit: see help('isSingular')## (10/14) Simulating: |======================= |## boundary (singular) fit: see help('isSingular')## (10/14) Simulating: |======================== |(10/14) Simulating: |========================= |(10/14) Simulating: |========================== |(10/14) Simulating: |=========================== |(10/14) Simulating: |============================ |(10/14) Simulating: |============================= |## boundary (singular) fit: see help('isSingular')## (10/14) Simulating: |============================== |(10/14) Simulating: |=============================== |(10/14) Simulating: |================================ |(10/14) Simulating: |================================= |(10/14) Simulating: |================================== |(10/14) Simulating: |=================================== |(10/14) Simulating: |==================================== |(10/14) Simulating: |===================================== |## boundary (singular) fit: see help('isSingular')
## boundary (singular) fit: see help('isSingular')## (10/14) Simulating: |====================================== |(10/14) Simulating: |======================================= |## boundary (singular) fit: see help('isSingular')## (10/14) Simulating: |======================================== |(10/14) Simulating: |========================================= |(10/14) Simulating: |========================================== |(10/14) Simulating: |=========================================== |(10/14) Simulating: |============================================ |(10/14) Simulating: |============================================= |(10/14) Simulating: |============================================== |(10/14) Simulating: |=============================================== |(10/14) Simulating: |================================================ |(10/14) Simulating: |================================================= |(10/14) Simulating: |================================================== |(10/14) Simulating: |=================================================== |(10/14) Simulating: |==================================================== |(10/14) Simulating: |===================================================== |(10/14) Simulating: |====================================================== |(10/14) Simulating: |======================================================= |(10/14) Simulating: |======================================================== |(10/14) Simulating: |========================================================= |(10/14) Simulating: |==========================================================|(10/14) (11/14) (11/14) Simulating: | |(11/14) Simulating: |= |(11/14) Simulating: |== |## boundary (singular) fit: see help('isSingular')## (11/14) Simulating: |=== |(11/14) Simulating: |==== |(11/14) Simulating: |===== |(11/14) Simulating: |====== |## boundary (singular) fit: see help('isSingular')## (11/14) Simulating: |======= |(11/14) Simulating: |======== |(11/14) Simulating: |========= |(11/14) Simulating: |========== |(11/14) Simulating: |=========== |(11/14) Simulating: |============ |(11/14) Simulating: |============= |(11/14) Simulating: |============== |(11/14) Simulating: |=============== |(11/14) Simulating: |================ |(11/14) Simulating: |================= |(11/14) Simulating: |================== |(11/14) Simulating: |=================== |## boundary (singular) fit: see help('isSingular')## (11/14) Simulating: |==================== |(11/14) Simulating: |===================== |(11/14) Simulating: |====================== |## boundary (singular) fit: see help('isSingular')## (11/14) Simulating: |======================= |## boundary (singular) fit: see help('isSingular')## (11/14) Simulating: |======================== |(11/14) Simulating: |========================= |(11/14) Simulating: |========================== |(11/14) Simulating: |=========================== |(11/14) Simulating: |============================ |(11/14) Simulating: |============================= |## boundary (singular) fit: see help('isSingular')## (11/14) Simulating: |============================== |(11/14) Simulating: |=============================== |(11/14) Simulating: |================================ |(11/14) Simulating: |================================= |(11/14) Simulating: |================================== |(11/14) Simulating: |=================================== |(11/14) Simulating: |==================================== |(11/14) Simulating: |===================================== |## boundary (singular) fit: see help('isSingular')## (11/14) Simulating: |====================================== |(11/14) Simulating: |======================================= |## boundary (singular) fit: see help('isSingular')## (11/14) Simulating: |======================================== |(11/14) Simulating: |========================================= |(11/14) Simulating: |========================================== |(11/14) Simulating: |=========================================== |(11/14) Simulating: |============================================ |(11/14) Simulating: |============================================= |(11/14) Simulating: |============================================== |(11/14) Simulating: |=============================================== |## boundary (singular) fit: see help('isSingular')## (11/14) Simulating: |================================================ |(11/14) Simulating: |================================================= |(11/14) Simulating: |================================================== |(11/14) Simulating: |=================================================== |(11/14) Simulating: |==================================================== |(11/14) Simulating: |===================================================== |(11/14) Simulating: |====================================================== |(11/14) Simulating: |======================================================= |## boundary (singular) fit: see help('isSingular')## (11/14) Simulating: |======================================================== |(11/14) Simulating: |========================================================= |(11/14) Simulating: |==========================================================|(11/14) (12/14) (12/14) Simulating: | |(12/14) Simulating: |= |(12/14) Simulating: |== |## boundary (singular) fit: see help('isSingular')## (12/14) Simulating: |=== |(12/14) Simulating: |==== |(12/14) Simulating: |===== |(12/14) Simulating: |====== |## boundary (singular) fit: see help('isSingular')## (12/14) Simulating: |======= |(12/14) Simulating: |======== |(12/14) Simulating: |========= |(12/14) Simulating: |========== |(12/14) Simulating: |=========== |## boundary (singular) fit: see help('isSingular')## (12/14) Simulating: |============ |(12/14) Simulating: |============= |(12/14) Simulating: |============== |(12/14) Simulating: |=============== |(12/14) Simulating: |================ |(12/14) Simulating: |================= |(12/14) Simulating: |================== |(12/14) Simulating: |=================== |## boundary (singular) fit: see help('isSingular')## (12/14) Simulating: |==================== |(12/14) Simulating: |===================== |(12/14) Simulating: |====================== |(12/14) Simulating: |======================= |## boundary (singular) fit: see help('isSingular')## (12/14) Simulating: |======================== |(12/14) Simulating: |========================= |(12/14) Simulating: |========================== |(12/14) Simulating: |=========================== |(12/14) Simulating: |============================ |(12/14) Simulating: |============================= |## boundary (singular) fit: see help('isSingular')## (12/14) Simulating: |============================== |(12/14) Simulating: |=============================== |(12/14) Simulating: |================================ |(12/14) Simulating: |================================= |(12/14) Simulating: |================================== |(12/14) Simulating: |=================================== |(12/14) Simulating: |==================================== |(12/14) Simulating: |===================================== |## boundary (singular) fit: see help('isSingular')## (12/14) Simulating: |====================================== |(12/14) Simulating: |======================================= |## boundary (singular) fit: see help('isSingular')## (12/14) Simulating: |======================================== |(12/14) Simulating: |========================================= |(12/14) Simulating: |========================================== |(12/14) Simulating: |=========================================== |(12/14) Simulating: |============================================ |(12/14) Simulating: |============================================= |(12/14) Simulating: |============================================== |(12/14) Simulating: |=============================================== |## boundary (singular) fit: see help('isSingular')## (12/14) Simulating: |================================================ |(12/14) Simulating: |================================================= |(12/14) Simulating: |================================================== |(12/14) Simulating: |=================================================== |(12/14) Simulating: |==================================================== |(12/14) Simulating: |===================================================== |(12/14) Simulating: |====================================================== |(12/14) Simulating: |======================================================= |## boundary (singular) fit: see help('isSingular')## (12/14) Simulating: |======================================================== |(12/14) Simulating: |========================================================= |(12/14) Simulating: |==========================================================|(12/14) (13/14) (13/14) Simulating: | |(13/14) Simulating: |= |(13/14) Simulating: |== |## boundary (singular) fit: see help('isSingular')## (13/14) Simulating: |=== |(13/14) Simulating: |==== |(13/14) Simulating: |===== |(13/14) Simulating: |====== |## boundary (singular) fit: see help('isSingular')## (13/14) Simulating: |======= |(13/14) Simulating: |======== |(13/14) Simulating: |========= |(13/14) Simulating: |========== |(13/14) Simulating: |=========== |## boundary (singular) fit: see help('isSingular')## (13/14) Simulating: |============ |(13/14) Simulating: |============= |(13/14) Simulating: |============== |(13/14) Simulating: |=============== |(13/14) Simulating: |================ |(13/14) Simulating: |================= |(13/14) Simulating: |================== |(13/14) Simulating: |=================== |## boundary (singular) fit: see help('isSingular')## (13/14) Simulating: |==================== |(13/14) Simulating: |===================== |(13/14) Simulating: |====================== |(13/14) Simulating: |======================= |## boundary (singular) fit: see help('isSingular')## (13/14) Simulating: |======================== |(13/14) Simulating: |========================= |(13/14) Simulating: |========================== |(13/14) Simulating: |=========================== |(13/14) Simulating: |============================ |(13/14) Simulating: |============================= |## boundary (singular) fit: see help('isSingular')## (13/14) Simulating: |============================== |(13/14) Simulating: |=============================== |(13/14) Simulating: |================================ |(13/14) Simulating: |================================= |(13/14) Simulating: |================================== |(13/14) Simulating: |=================================== |(13/14) Simulating: |==================================== |(13/14) Simulating: |===================================== |## boundary (singular) fit: see help('isSingular')## (13/14) Simulating: |====================================== |(13/14) Simulating: |======================================= |## boundary (singular) fit: see help('isSingular')## (13/14) Simulating: |======================================== |(13/14) Simulating: |========================================= |(13/14) Simulating: |========================================== |(13/14) Simulating: |=========================================== |(13/14) Simulating: |============================================ |(13/14) Simulating: |============================================= |(13/14) Simulating: |============================================== |(13/14) Simulating: |=============================================== |## boundary (singular) fit: see help('isSingular')## (13/14) Simulating: |================================================ |(13/14) Simulating: |================================================= |(13/14) Simulating: |================================================== |(13/14) Simulating: |=================================================== |(13/14) Simulating: |==================================================== |(13/14) Simulating: |===================================================== |(13/14) Simulating: |====================================================== |(13/14) Simulating: |======================================================= |## boundary (singular) fit: see help('isSingular')## (13/14) Simulating: |======================================================== |(13/14) Simulating: |========================================================= |(13/14) Simulating: |==========================================================|(13/14) (14/14) (14/14) Simulating: | |(14/14) Simulating: |= |(14/14) Simulating: |== |## boundary (singular) fit: see help('isSingular')## (14/14) Simulating: |=== |(14/14) Simulating: |==== |(14/14) Simulating: |===== |(14/14) Simulating: |====== |## boundary (singular) fit: see help('isSingular')## (14/14) Simulating: |======= |(14/14) Simulating: |======== |(14/14) Simulating: |========= |(14/14) Simulating: |========== |(14/14) Simulating: |=========== |## boundary (singular) fit: see help('isSingular')## (14/14) Simulating: |============ |(14/14) Simulating: |============= |(14/14) Simulating: |============== |(14/14) Simulating: |=============== |(14/14) Simulating: |================ |(14/14) Simulating: |================= |(14/14) Simulating: |================== |(14/14) Simulating: |=================== |## boundary (singular) fit: see help('isSingular')## (14/14) Simulating: |==================== |(14/14) Simulating: |===================== |(14/14) Simulating: |====================== |(14/14) Simulating: |======================= |## boundary (singular) fit: see help('isSingular')## (14/14) Simulating: |======================== |(14/14) Simulating: |========================= |(14/14) Simulating: |========================== |(14/14) Simulating: |=========================== |(14/14) Simulating: |============================ |(14/14) Simulating: |============================= |## boundary (singular) fit: see help('isSingular')## (14/14) Simulating: |============================== |(14/14) Simulating: |=============================== |(14/14) Simulating: |================================ |(14/14) Simulating: |================================= |(14/14) Simulating: |================================== |(14/14) Simulating: |=================================== |(14/14) Simulating: |==================================== |(14/14) Simulating: |===================================== |## boundary (singular) fit: see help('isSingular')## (14/14) Simulating: |====================================== |(14/14) Simulating: |======================================= |## boundary (singular) fit: see help('isSingular')## (14/14) Simulating: |======================================== |(14/14) Simulating: |========================================= |(14/14) Simulating: |========================================== |(14/14) Simulating: |=========================================== |(14/14) Simulating: |============================================ |(14/14) Simulating: |============================================= |(14/14) Simulating: |============================================== |(14/14) Simulating: |=============================================== |## boundary (singular) fit: see help('isSingular')## (14/14) Simulating: |================================================ |(14/14) Simulating: |================================================= |(14/14) Simulating: |================================================== |(14/14) Simulating: |=================================================== |(14/14) Simulating: |==================================================== |(14/14) Simulating: |===================================================== |(14/14) Simulating: |====================================================== |(14/14) Simulating: |======================================================= |## boundary (singular) fit: see help('isSingular')## (14/14) Simulating: |======================================================== |(14/14) Simulating: |========================================================= |(14/14) Simulating: |==========================================================|(14/14) ## Warning in observedPowerWarning(sim): This appears to be an "observed power"
## calculation8.4 power curves
## Power for predictor 'taskcausal', (95% confidence interval),
## by number of levels in subject_id:
## 2: 26.00% (17.74, 35.73) - 4 rows
## 5: 82.00% (73.05, 88.97) - 10 rows
## 10: 100.0% (96.38, 100.0) - 20 rows
## 20: 100.0% (96.38, 100.0) - 40 rows
## 30: 100.0% (96.38, 100.0) - 60 rows
## 40: 100.0% (96.38, 100.0) - 80 rows
## 50: 100.0% (96.38, 100.0) - 100 rows
## 60: 100.0% (96.38, 100.0) - 120 rows
## 70: 100.0% (96.38, 100.0) - 140 rows
## 80: 100.0% (96.38, 100.0) - 160 rows
## 90: 100.0% (96.38, 100.0) - 180 rows
## 100: 100.0% (96.38, 100.0) - 200 rows
## NA: 100.0% (96.38, 100.0) - 200 rows
## NA: 100.0% (96.38, 100.0) - 200 rows
##
## Time elapsed: 0 h 0 m 33 s9 Order effects
9.1 causal-causal vs freesort-freesort correlation
df_causal_first <- df_combined %>%
filter(trial_type_order == "causation_first")
df_freesort_first <- df_combined %>%
filter(trial_type_order == "causation_second")
# Getting causal RDMs
## causation-first group
df_causal_rdm_causation_first <- df_causal_first %>%
mutate(item_pairs = str_c(itemA, itemB, sep = "-")) %>%
group_by(item_pairs) %>%
mutate(mean_causal = mean(causal_distance, na.rm = TRUE)) %>%
ungroup() %>%
distinct(item_pairs, .keep_all = TRUE) %>%
select(itemA, itemB, mean_causal) %>%
pivot_wider(names_from = itemB, values_from = mean_causal) %>%
column_to_rownames("itemA")
df_causal_rdm_causation_first <- df_causal_rdm_causation_first[desired_order, desired_order] #reorder rdm
## freesort-first group
df_causal_rdm_freesort_first <- df_freesort_first %>%
mutate(item_pairs = str_c(itemA, itemB, sep = "-")) %>%
group_by(item_pairs) %>%
mutate(mean_causal = mean(causal_distance, na.rm = TRUE)) %>%
ungroup() %>%
distinct(item_pairs, .keep_all = TRUE) %>%
select(itemA, itemB, mean_causal) %>%
pivot_wider(names_from = itemB, values_from = mean_causal) %>%
column_to_rownames("itemA")
df_causal_rdm_freesort_first <- df_causal_rdm_freesort_first[desired_order, desired_order] #reorder rdm
# Getting freesort RDMs
## causation-first group
df_freesort_rdm_causation_first <- df_causal_first %>%
mutate(item_pairs = str_c(itemA, itemB, sep = "-")) %>%
group_by(item_pairs) %>%
mutate(mean_euclidean = mean(freesort_distance, na.rm = TRUE)) %>%
ungroup() %>%
distinct(item_pairs, .keep_all = TRUE) %>%
select(itemA, itemB, mean_euclidean) %>%
pivot_wider(names_from = itemB, values_from = mean_euclidean) %>%
column_to_rownames("itemA")
df_freesort_rdm_causation_first <- df_freesort_rdm_causation_first[desired_order, desired_order] #reorder rdm
## freesort-first group
df_freesort_rdm_freesort_first <- df_freesort_first %>%
mutate(item_pairs = str_c(itemA, itemB, sep = "-")) %>%
group_by(item_pairs) %>%
mutate(mean_euclidean = mean(freesort_distance, na.rm = TRUE)) %>%
ungroup() %>%
distinct(item_pairs, .keep_all = TRUE) %>%
select(itemA, itemB, mean_euclidean) %>%
pivot_wider(names_from = itemB, values_from = mean_euclidean) %>%
column_to_rownames("itemA")
df_freesort_rdm_freesort_first <- df_freesort_rdm_freesort_first[desired_order, desired_order] #reorder rdm
#flatten the upper tris, for correlation
flatten_rdm <- function(matrix) {
matrix[upper.tri(matrix)]
}
# Extract upper triangles
causation_rdm_correlation <- cor(flatten_rdm(as.matrix(df_causal_rdm_causation_first)),
flatten_rdm(as.matrix(df_causal_rdm_freesort_first)),
method = "pearson")
freesort_rdm_correlation <- cor(flatten_rdm(as.matrix(df_freesort_rdm_causation_first)),
flatten_rdm(as.matrix(df_freesort_rdm_freesort_first)),
method = "pearson")
print(paste0("Corr(causal rdm Causal Task first, causal rdm Sorting Task first): " , causation_rdm_correlation))## [1] "Corr(causal rdm Causal Task first, causal rdm Sorting Task first): 0.951633021558085"print(paste0("Corr(freesort rdm Causal Task first, freesort rdm Sorting Task first): " , freesort_rdm_correlation))## [1] "Corr(freesort rdm Causal Task first, freesort rdm Sorting Task first): 0.864429030575128"#compute correlation difference
correlation_difference <- causation_rdm_correlation - freesort_rdm_correlation
print(paste0("correlation difference: ", correlation_difference))## [1] "correlation difference: 0.0872039909829571"9.2 causal-freesort vs causal freesort correlation
#get upper tris
causation_first_rdm_correlation <- cor(flatten_rdm(as.matrix(df_causal_rdm_causation_first)),
flatten_rdm(as.matrix(df_freesort_rdm_causation_first)),
method = "pearson")
freesort_first_rdm_correlation <- cor(flatten_rdm(as.matrix(df_causal_rdm_freesort_first)),
flatten_rdm(as.matrix(df_freesort_rdm_freesort_first)),
method = "pearson")
print(causation_first_rdm_correlation)## [1] -0.04585133print(paste0("Corr(causal rdm Causal Task first, freesort rdm Causal Task first): " , causation_first_rdm_correlation))## [1] "Corr(causal rdm Causal Task first, freesort rdm Causal Task first): -0.0458513340083499"print(paste0("Corr(causal rdm Sorting Task first, freesort rdm Sorting Task first): " , freesort_first_rdm_correlation))## [1] "Corr(causal rdm Sorting Task first, freesort rdm Sorting Task first): 0.030704582634035"#compute correlation difference
correlation_difference_orders <- freesort_first_rdm_correlation - causation_first_rdm_correlation
correlation_difference_orders## [1] 0.07655592## [1] "Correlation difference: 0.0765559166423849"fisher_z <- function(r) {
return(0.5 * log((1 + r) / (1 - r)))
}
#convert correlations to Fisher's z
z1 <- fisher_z(causation_first_rdm_correlation)
z2 <- fisher_z(freesort_first_rdm_correlation)
N1 <- nrow(df_causal_rdm_causation_first)
N2 <- nrow(df_causal_rdm_freesort_first)
SE <- sqrt(1 / (N1 - 3) + 1 / (N2 - 3))
z_diff <- (z2 - z1) / SE #z score for the difference
p_value <- 2 * (1 - pnorm(abs(z_diff)))
print(paste("Z-score:", z_diff))## [1] "Z-score: 0.187625387273826"## [1] "P-value: 0.851170323503799"